Finding the Third Proportional to 81,642.38 and 123,694.13

Step by Step Solution

1. Step 1: Write the proportion equation
   81,642.38 : 123,694.13 = 123,694.13 : x
2. Step 2: Convert to fraction form
   81,642.38/123,694.13 = 123,694.13/x
3. Step 3: Cross multiply
   81,642.38x = 123,694.13 × 123,694.13
4. Step 4: Simplify right side
   81,642.38x = 15,300,236,559.52
5. Step 5: Solve for x
   x = 15,300,236,559.52/81,642.38
6. Step 6: Final answer
   x = 187,405.58