To check that you’re up-to-date, go to the About Google Chrome… window, accessible from the address bar by typing in the special URL chrome://settings/help .
Also a heads up that the link in the first post is for DESKTOP users!
I just updated my play store apps 2 days ago, and was not shown (in the “my apps” list) that there was an update for the Android Chrome browser!
When I manually used a link (backtracking from the link above, via Stable Updates, at the bottom) it took me to the main Chrome page in the Google Play store, which did properly reflect that an update (from the .105 release I was on) to .121 IS available!!