The below assumes the reader has just downloaded the .deb from Google. This is the file referred to below.
<End December 23 addition>
With my fresh Linux Mint 12 install, I was unable to simply click on the file, type my password, and see it install (yes, I can be lazy). The workaround is well-explained here: http://www.noobslab.com/2011/07/install-google-chrome-on-ubuntu-or.html
For 32b Mint, the drill was:
sudo dpkg -i google-chrome-stable_current_i386.deb
sudo apt-get -f install
For 64b Mint, replace 'i386' above with 'amd64'. Of course, either way, use the actual name of the file you downloaded.