Media certainly have a major impact. When white female celebrities are seen with black males that is a major positive influence. Even more so if the woman is pregnant and/or has mixed-race children.
Someone commented about a TV show with a white woman dating a black man. We need more of that on TV, also, whether it's teens or adults, show interracial couples dating, kissing, hugging, in bed, etc.
And let's not forget the impact non-celebrities can have. White women out in public with black men. White moms in public with their mixed-race babies. Those don't reach nearly as many people as mass media, but they make important statements nonetheless.
There is no one magic solution, but the more each person does, the better.
