Finding the Third Proportional to 59,306 and 128,980

Step by Step Solution

1. Step 1: Write the proportion equation
   59,306 : 128,980 = 128,980 : x
2. Step 2: Convert to fraction form
   59,306/128,980 = 128,980/x
3. Step 3: Cross multiply
   59,306x = 128,980 × 128,980
4. Step 4: Simplify right side
   59,306x = 16,635,840,400
5. Step 5: Solve for x
   x = 16,635,840,400/59,306
6. Step 6: Final answer
   x = 280,508.56