They've used "medal" as a verb for as long as I can remember ("And with that performance, Jacque Itsch has medaled for the third straight Olympics!"), so "to podium" is a reasonable leap.
Of course, that got me to thinking about all the other wonderful words that we would never hear if not for the Olympics. I, for one, can't tell my lutz from my sow-cow, and I've never slalomed nor fakied, but the competition is compelling enough for me to keep my eyes on the skis (or something like that).
From Merriam-Webster Online
Main Entry: po·di·um
Inflected Form(s): plural podiums or po·dia /-dE-&/
Etymology: Latin -- more at PEW
1 : a low wall serving as a foundation or terrace wall: as a : one around the arena of an ancient amphitheater serving as a base for the tiers of seats b : the masonry under the stylobate of a temple
2 a : a dais especially for an orchestral conductor b : LECTERN