Try to get rid of Google Update after you install Chrome. No, uninstalling Chrome won't help. Removing it from the sequence of software items that Windows starts during it's own start-up, proved to be more nasty than previously thought. Sure you can disable or delete it with 'autoruns' (outstanding systinternals tool), but after Windows reboots you have a second google update entry that is active. Rinse and repeat...
A virus behaves practically the same.
So no Chrome for me. Ever. The portable SRW Iron browser is much better/friendlier in that respect. Opera browsers now-a-days use the webkit engine as well, so you might want to look into that as well. PortableApps website offers(very) recent Opera browsers. Personally, I prefer that over SRW Iron now. Although (portable) SRW Iron is no slouch, (portable) Opera is faster.