Finding the Third Proportional to 52.56 and 116.13

Step by Step Solution

1. Step 1: Write the proportion equation
   52.56 : 116.13 = 116.13 : x
2. Step 2: Convert to fraction form
   52.56/116.13 = 116.13/x
3. Step 3: Cross multiply
   52.56x = 116.13 × 116.13
4. Step 4: Simplify right side
   52.56x = 13,485.02
5. Step 5: Solve for x
   x = 13,485.02/52.56
6. Step 6: Final answer
   x = 256.55