Finding the Third Proportional to 80,785 and 123,365

Step by Step Solution

1. Step 1: Write the proportion equation
   80,785 : 123,365 = 123,365 : x
2. Step 2: Convert to fraction form
   80,785/123,365 = 123,365/x
3. Step 3: Cross multiply
   80,785x = 123,365 × 123,365
4. Step 4: Simplify right side
   80,785x = 15,218,923,225
5. Step 5: Solve for x
   x = 15,218,923,225/80,785
6. Step 6: Final answer
   x = 188,387.98