Finding the Third Proportional to 59,832 and 129,570

Step by Step Solution

1. Step 1: Write the proportion equation
   59,832 : 129,570 = 129,570 : x
2. Step 2: Convert to fraction form
   59,832/129,570 = 129,570/x
3. Step 3: Cross multiply
   59,832x = 129,570 × 129,570
4. Step 4: Simplify right side
   59,832x = 16,788,384,900
5. Step 5: Solve for x
   x = 16,788,384,900/59,832
6. Step 6: Final answer
   x = 280,592.07