Finding the Third Proportional to 59,328 and 129,600

Step by Step Solution

1. Step 1: Write the proportion equation
   59,328 : 129,600 = 129,600 : x
2. Step 2: Convert to fraction form
   59,328/129,600 = 129,600/x
3. Step 3: Cross multiply
   59,328x = 129,600 × 129,600
4. Step 4: Simplify right side
   59,328x = 16,796,160,000
5. Step 5: Solve for x
   x = 16,796,160,000/59,328
6. Step 6: Final answer
   x = 283,106.80