how to keep my character on a moving platform

I have a moving platform that moves using:

 transform.position = Vector2.MoveTowards(this.transform.position, new Vector2(point.x,this.transform.position.y), speed*Time.deltaTime);

but, when my character stands on it he stays in one place and the platform moves from beneath him. I suspect this is because the platform is actually resetting it's position gradually instead of actually moving. Is there any way I can make him move with the platform?