Observe the given figures carefully and find the missing number in the figure…

In this family of X-shaped figures, the four numbers at the ends of the cross pair by side: the top-left number pairs with the bottom-left number (the left side), and the top-right number pairs with the bottom-right number (the right side). The number placed at the centre equals the sum of these two side-wise products.

1. In figure (i): top-left = 6 and bottom-left = 12, so their product is 6 × 12 = 72; top-right = 13 and bottom-right = 11, so their product is 13 × 11 = 143. Adding the two products gives 72 + 143 = 215, which matches the given centre value.

2. In figure (ii): top-left = 8 and bottom-left = 9, so their product is 8 × 9 = 72; top-right = 12 and bottom-right = 12, so their product is 12 × 12 = 144. Adding the two products gives 72 + 144 = 216, which matches the given centre value.

3. In figure (iii): top-left = 9 and bottom-left = 11, so their product is 9 × 11 = 99; top-right = 11 and bottom-right = 11, so their product is 11 × 11 = 121. Adding the two products gives 99 + 121 = 220.

As a cross-check, testing the other pairing — by row: (top-left × top-right) + (bottom-left × bottom-right) — on figure (i) gives 6 × 13 + 12 × 11 = 78 + 132 = 210, which does not match the given centre value of 215. This confirms that the side-wise pairing (left side and right side) is the rule governing all three figures.

Applying only this confirmed rule to figure (iii) gives 99 + 121 = 220, so the missing number is 220.