Finding the Third Proportional to 80,754 and 187,665

Step by Step Solution

1. Step 1: Write the proportion equation
   80,754 : 187,665 = 187,665 : x
2. Step 2: Convert to fraction form
   80,754/187,665 = 187,665/x
3. Step 3: Cross multiply
   80,754x = 187,665 × 187,665
4. Step 4: Simplify right side
   80,754x = 35,218,152,225
5. Step 5: Solve for x
   x = 35,218,152,225/80,754
6. Step 6: Final answer
   x = 436,116.50