Finding the Third Proportional to 59,662 and 128,665

Step by Step Solution

1. Step 1: Write the proportion equation
   59,662 : 128,665 = 128,665 : x
2. Step 2: Convert to fraction form
   59,662/128,665 = 128,665/x
3. Step 3: Cross multiply
   59,662x = 128,665 × 128,665
4. Step 4: Simplify right side
   59,662x = 16,554,682,225
5. Step 5: Solve for x
   x = 16,554,682,225/59,662
6. Step 6: Final answer
   x = 277,474.48