Finding the Third Proportional to 81,659 and 123,718

Step by Step Solution

1. Step 1: Write the proportion equation
   81,659 : 123,718 = 123,718 : x
2. Step 2: Convert to fraction form
   81,659/123,718 = 123,718/x
3. Step 3: Cross multiply
   81,659x = 123,718 × 123,718
4. Step 4: Simplify right side
   81,659x = 15,306,143,524
5. Step 5: Solve for x
   x = 15,306,143,524/81,659
6. Step 6: Final answer
   x = 187,439.76