Finding the Third Proportional to 59,496 and 129,360

Step by Step Solution

1. Step 1: Write the proportion equation
   59,496 : 129,360 = 129,360 : x
2. Step 2: Convert to fraction form
   59,496/129,360 = 129,360/x
3. Step 3: Cross multiply
   59,496x = 129,360 × 129,360
4. Step 4: Simplify right side
   59,496x = 16,734,009,600
5. Step 5: Solve for x
   x = 16,734,009,600/59,496
6. Step 6: Final answer
   x = 281,262.77