Finding the Third Proportional to 59,086 and 128,540

Step by Step Solution

1. Step 1: Write the proportion equation
   59,086 : 128,540 = 128,540 : x
2. Step 2: Convert to fraction form
   59,086/128,540 = 128,540/x
3. Step 3: Cross multiply
   59,086x = 128,540 × 128,540
4. Step 4: Simplify right side
   59,086x = 16,522,531,600
5. Step 5: Solve for x
   x = 16,522,531,600/59,086
6. Step 6: Final answer
   x = 279,635.30