Finding the Third Proportional to 53.28 and 116.59

Step by Step Solution

1. Step 1: Write the proportion equation
   53.28 : 116.59 = 116.59 : x
2. Step 2: Convert to fraction form
   53.28/116.59 = 116.59/x
3. Step 3: Cross multiply
   53.28x = 116.59 × 116.59
4. Step 4: Simplify right side
   53.28x = 13,594.10
5. Step 5: Solve for x
   x = 13,594.10/53.28
6. Step 6: Final answer
   x = 255.14