Finding the Third Proportional to 53.31 and 116.28

Step by Step Solution

1. Step 1: Write the proportion equation
   53.31 : 116.28 = 116.28 : x
2. Step 2: Convert to fraction form
   53.31/116.28 = 116.28/x
3. Step 3: Cross multiply
   53.31x = 116.28 × 116.28
4. Step 4: Simplify right side
   53.31x = 13,520.87
5. Step 5: Solve for x
   x = 13,520.87/53.31
6. Step 6: Final answer
   x = 253.61