Scan Library for music track
https://video.stackexchange.com/questions/5339/match-two-sounds-with-a-level-of-certainty/5344#5344

Similar post, but the conclustion was that while the technology exists, it is mainly used to confirm what a song is etc...but you could for sure look into the Shazam or Soundhound APIs to see if you can create a code/script that would do it for you

However if the song, has a point in which the song is literally the only thing playing, you could use a software called pluraleyes, to sync your podcasts to that song, if they find a sync point, most likely it will be that song...

This may or may not work to some degree, there is obviously a high level of error while trying to make it match, the more of the song playing that is not mixed with anything else, the higher the likelyness of this working.