When positions are fixed, always answer relative-position queries from the reference person's viewpoint (here, from $R$ to $P$) and remember "to the right" is clockwise for inward-facing circles.
Immediate right
Third to the right
Third to the left
From the completed circle (Step 4 above), $Y$ is the mother of $R$, and $P$ is the father of $Y$ $\Rightarrow$ $R$ is $P$'s grandchild.
In the seating order \[ P \;-\; Y \;-\; X \;-\; Z \;-\; W \;-\; S \;-\; Q \;-\; R, \] everyone faces the centre, so moving to the right is clockwise. From $R$, the immediate right seat is $P$.
\[ \Rightarrow \text{P is on the \textit{immediate right} of his grandchild R.}\]
