The Google Chrome team has released latest stable versions of their browser. The Google Chrome version 20.0.1132.43 for Windows, Mac and Linux comes with a loads of bug fixes and also the Pepper plugin that will allow Linux users to watch web videos and use flash without installing the Flash plugin.
Adobe had rolled out the last major release of Flash plugin last March, and though this release will be maintained for 5 years for security fixes, no more major versions of Flash will be released by Adobe for Linux. After Chrome 20, x86 and x86_64 Linux users will be able to view Flash content via PPAPI plugin in the browser.
Users of other browsers can use Flash Plugin version 11 indefinitely, switch to Google Chrome or Chromium, or use one of the under-performing open-source Flash alternatives like Gnash. Also one may hope Flash to get replaced by HTML5 or other alternatives in the next 5 years.
If you are already running Google Chrome you don't need to worry about updating it as Google keeps it updated automatically.