Finding the Third Proportional to 81,720 and 123,662

Step by Step Solution

1. Step 1: Write the proportion equation
   81,720 : 123,662 = 123,662 : x
2. Step 2: Convert to fraction form
   81,720/123,662 = 123,662/x
3. Step 3: Cross multiply
   81,720x = 123,662 × 123,662
4. Step 4: Simplify right side
   81,720x = 15,292,290,244
5. Step 5: Solve for x
   x = 15,292,290,244/81,720
6. Step 6: Final answer
   x = 187,130.33