Finding the Third Proportional to 81,931 and 123,474

Step by Step Solution

1. Step 1: Write the proportion equation
   81,931 : 123,474 = 123,474 : x
2. Step 2: Convert to fraction form
   81,931/123,474 = 123,474/x
3. Step 3: Cross multiply
   81,931x = 123,474 × 123,474
4. Step 4: Simplify right side
   81,931x = 15,245,828,676
5. Step 5: Solve for x
   x = 15,245,828,676/81,931
6. Step 6: Final answer
   x = 186,081.32