jmc

Given any two positive real numbers $x$ and $y$, then $x◊y$ is a positive real number defined in terms of $x$ and $y$ by some fixed rule. Suppose the operation $x◊y$ satisfies the equations $(xy)◊y=x(y◊y)$ and $(x◊1)◊x=x◊1$ for all $x,y>0$. Given that $1◊1=1$, find $19◊98$.