as the title asks What does growing from strength to strength
mean ?
A Google search yields meaning for the word strength and not the phrase. [It would be great if somebody can provide URL/search engine for looking for the meaning of such phrases]
Context
During my own lifetime our popular cinema has auspiciously grown from
strength to strength
Source : Acceptance speech at the Brisbane Doctorate ceremony
Best Answer
http://www.google.com/search?q=define+from+strength+to+strength
yields
http://www.phrases.org.uk/meanings/144200.html