I am having a similar problem. I have tried repeatedly to update from the page you link to. According to everything on adobe, the latest version is 213, but after supposedly successfully updating my two windows 7 computers ares STILL running version 216 on both chrome and IE. One is a 64 bit, the other is a 32 bit.
On Chrome you are having 22.214.171.124 version Flash Player as it is the latest available Chrome specific Flash Player. Can you please recheck the version of IE Flash Player. That should be 126.96.36.199 because currently that is the latest player available for IE.