Finding the Third Proportional to 53.13 and 116.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53.13 : 116.38 = 116.38 : x
2. Step 2: Convert to fraction form
   53.13/116.38 = 116.38/x
3. Step 3: Cross multiply
   53.13x = 116.38 × 116.38
4. Step 4: Simplify right side
   53.13x = 13,543.14
5. Step 5: Solve for x
   x = 13,543.14/53.13
6. Step 6: Final answer
   x = 254.93