well Google Chrome has the Adobe Flash Player built in to it like Internet Explorer 11 so the only way to update the Adobe Flash Player in Google Chrome is to update Google Chrome
there is no separate download to install Adobe Flash Player in to Google Chrome
Adobe Security Bulletin
Security Advisory for Adobe Flash Player
Release date: July 10, 2015
Last Updated: July 14, 2015
Vulnerability identifier: APSA15-04
CVE number: CVE-2015-5122, CVE-2015-5123
Platform: Windows, Macintosh and Linux
Critical vulnerabilities (CVE-2015-5122, CVE-2015-5123) have been identified in Adobe Flash Player 188.8.131.52 and earlier versions for Windows, Macintosh and Linux. Successful exploitation could cause a crash and potentially allow an attacker to take control of the affected system.
Adobe is aware of reports that exploits targeting these vulnerabilities have been published publicly. Adobe expects to make updates available during the week of July 12, 2015.
UPDATE (July 14): Adobe recommends users update their product installations to the latest versions using the instructions provided in the "Solution" section in Security Bulletin APSB15-18.
Affected software versions
Adobe Flash Player 184.108.40.206 and earlier versions for Windows and Macintosh
Adobe Flash Player 220.127.116.11 and earlier versions for Linux installed with Google Chrome
Adobe Flash Player Extended Support Release version 18.104.22.1682 and earlier 13.x versions for Windows and Macintosh
Adobe Flash Player Extended Support Release version 22.214.171.1241 and earlier 11.x versions for Linux
To verify the version of Adobe Flash Player installed on your system, access the About Flash Player page, or right-click on content running in Flash Player and select "About Adobe (or Macromedia) Flash Player" from the menu. If you use multiple browsers, perform the check for each browser you have installed on your system.
Adobe categorizes these issues as critical vulnerabilities
p.s. i tryed to post this before and it said it was waiting a Admin. to approve so i put xx in place of the tt in the link
that was a few hours ago