Finding the Third Proportional to 59,616 and 132,354

Step by Step Solution

1. Step 1: Write the proportion equation
   59,616 : 132,354 = 132,354 : x
2. Step 2: Convert to fraction form
   59,616/132,354 = 132,354/x
3. Step 3: Cross multiply
   59,616x = 132,354 × 132,354
4. Step 4: Simplify right side
   59,616x = 17,517,581,316
5. Step 5: Solve for x
   x = 17,517,581,316/59,616
6. Step 6: Final answer
   x = 293,840.27