Per Microsoft, Chrome is not supported with SSRS2012. It is supported starting with SSRS2014 when running on Windows. See the "Browser Requirements for Viewing Reports" in the links below:

SQL 2012

http://msdn.microsoft.com/en-us/library/ms156511(v=sql.110).aspx#bkmk_reportviewer

SQL 2014

http://msdn.microsoft.com/en-us/library/ms156511(v=sql.120).aspx#bkmk_reportviewer