What Does "Blessed are the Meek" Mean in Matthew 5:5?

Back in Genesis, Adam and Eve were called to subdue the earth, and to rule the earth. It was going to be a wonderful rule where God's will was done on every part of the earth. That was lost in the fall. Really, the call of every Christian then, is as we step into the Kingdom of God, is to bring the rule of God to the earth. Then, that's where God rules. Then that becomes our inheritance. 

So as you share Christ with others, as you lay down your life for others, as you see the Spirit work in people and bring them into the Kingdom, that becomes your inheritance.