I recently downloaded Google Chrome from this page. The download for my computer is google-chrome-stable_current_amd64.deb ( Version 35.0.1916.114 ).
Installation is simple : right click the package and choose Open With Software Center.
Start Google Chrome with Applications > Google Chrome and an icon will appear in Plank. Right click the icon and check Keep In Dock.
After closing and restarting Google Chrome a second fuzzy looking icon appears in Plank :
To solve this problem :
Open Slingshot ( Applications ) and type gksu in the searchbox :
Run pantheon-files as root :
Navigate to File System >usr >share >applications and find the Google Chrome icon. Right click and choose Open With Scratch.
On three lines starting with Exec=/usr/bin/ you need to replace google-chrome-stable with google-chrome.
Update : this solution might not work anymore. What can work is the following ( in Terminal ) :
cp /usr/share/applications/google-chrome.desktop ~/.local/share/applications
Open google-chrome.desktop with Scratch and write under [Desktop Entry] the following line :