Finding the Third Proportional to 89,666 and 125,665

Step by Step Solution

1. Step 1: Write the proportion equation
   89,666 : 125,665 = 125,665 : x
2. Step 2: Convert to fraction form
   89,666/125,665 = 125,665/x
3. Step 3: Cross multiply
   89,666x = 125,665 × 125,665
4. Step 4: Simplify right side
   89,666x = 15,791,692,225
5. Step 5: Solve for x
   x = 15,791,692,225/89,666
6. Step 6: Final answer
   x = 176,116.84