"The Frogman's usual costume consisted of knee-breeches made of yellow satin plush, with trimmings of gold braid and jeweled knee-buckles; a white satin vest with silver buttons in which were set solitaire rubies; a swallow-tailed coat of bright yellow; green stockings and red leather shoes turned up at the toes and having diamond buckles. He wore, when he walked out, a purple silk hat and carried a gold-headed cane. Over his eyes he wore great spectacles with gold rims, not because his eyes were bad, but because the spectacles made him look wise, and so distinguished and gorgeous was his appearance that all the Yips were very proud of him."
He was also made the leader of Yips, and gave advice and settled disputes for them. Eventually, he gained a reputation for being much smarter than he really was, which he was all too glad to perpetuate. When he accompanied Cayke the Cookie Cook on a search for her lost Magic Dishpan, he had the idea that his wisdom would spread throughout Oz, but it turned out that most other Ozites did not have the same respect for the amphibian that the isolated Yips had. What's more, he accidentally bathed in the Truth Pond, which forced him to reveal that he wasn't anywhere near as wise as Cayke and the other Yips thought he was. He was still quite helpful in the defeat of Ugu the Shoemaker, however, and went on to visit the Emerald City for an extended period of time. In fact, Glinda identifies him as part of Ozma's council. It's not entirely clear whether he is perpetuating his visit from back at the end of Lost Princess, or just drops in from the Yip Country from time to time, but it does seem that Baum intended for him to become a fixture in the roster of Ozian celebrities. None of the other Famous Forty authors really used him, though, aside from a brief mention in one of Jack Snow's books, so he ended up becoming somewhat of an obscure character despite his promising beginning.
Not surprisingly, some post-FF authors have written of the further adventures of our froggy friend. March Laumer has a book called The Frogman of Oz, in which the enlarged amphibian plays a major role, and ends up pairing up with Gayelette, who had been given the form of a giant frog by Mombi. Laumer also gives the Frogman's name as Frederick Fruakx, despite the fact that Baum claimed "the Frogman" was "the only name he has ever had." Eric Shanower wrote a short story called "The Final Fate of the Frogman," in which the powers of the Truth Pond eventually force the Frogman to stop behaving in a human manner, and he ends up guarding the pond to make sure no one else suffers his fate. It's a well-written story, but I have to say I feel sorry for the poor Frogman. At least in a magical land like Oz, I suppose there's always a chance of redemption for the amphibian.