If you hover your mouse over the exclamation mark or the truncated text, do you get a tooltip with the full error text displayed?
You can also download the stand alone installer for Flash Player at the bottom of this page in the "still having problems" section: Installation problems | Flash Player | Mac
I am running Flash Player version 22.214.171.124 with no issues. I am a MackBook using 10.10.3 (14D136) with no issues. However, in Safari it shows version 18.0.162, but in Chrome is using version 126.96.36.199, Firefox also shows version 188.8.131.52. Is there a reason why Chrome is not displaying version 184.108.40.206?
Flash Player in chrome gets updated by chrome background update. You can try updating your chrome to update your flash player.