Finding the Third Proportional to 59,496 and 132,114

Step by Step Solution

1. Step 1: Write the proportion equation
   59,496 : 132,114 = 132,114 : x
2. Step 2: Convert to fraction form
   59,496/132,114 = 132,114/x
3. Step 3: Cross multiply
   59,496x = 132,114 × 132,114
4. Step 4: Simplify right side
   59,496x = 17,454,108,996
5. Step 5: Solve for x
   x = 17,454,108,996/59,496
6. Step 6: Final answer
   x = 293,366.09