Finding the Third Proportional to 80,632 and 123,728

Step by Step Solution

1. Step 1: Write the proportion equation
   80,632 : 123,728 = 123,728 : x
2. Step 2: Convert to fraction form
   80,632/123,728 = 123,728/x
3. Step 3: Cross multiply
   80,632x = 123,728 × 123,728
4. Step 4: Simplify right side
   80,632x = 15,308,617,984
5. Step 5: Solve for x
   x = 15,308,617,984/80,632
6. Step 6: Final answer
   x = 189,857.85