I like what
pathart had to say, "The number of backlinks isnt all that matters, its about the quality of those backlinks, how many unqiue IPs they come from and many other factors. Try and build long lasting backlinks (not spamming blog comments/ forum profiles) and they we will stick.". The reason I like this is because it is 100% accurate! Do links matter? Absolutely! Is it the only thing that does?!? NO!
However, your company that you work for needs to understand that they need to significantly invest in the long term growth of the website and not look for short cuts. In the end, the slow and steady growth of a site that attracts and keeps real people, is going to win... Therefore, not saying you are, stop focuing on your competition as the benchmark to beat, but decide now, what kind of online presence you want to have and go for that!
Maybe, in another year, you will have 100,000 more links and they will too, but then you will always be behind them... But, if you focus on adding value to your customers experience and create content that inspires people to act, buy or whatever... That will never fail.
Finally, you need to set yourself up for success wherever you are... if you feed into the focus that # of back-links it the best metric, then you will be fired quicker than you knew what hit you.
I truly hope this helped!
Shawn