Finding the Third Proportional to 59,200 and 129,320

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200 : 129,320 = 129,320 : x
2. Step 2: Convert to fraction form
   59,200/129,320 = 129,320/x
3. Step 3: Cross multiply
   59,200x = 129,320 × 129,320
4. Step 4: Simplify right side
   59,200x = 16,723,662,400
5. Step 5: Solve for x
   x = 16,723,662,400/59,200
6. Step 6: Final answer
   x = 282,494.30