Finding the Third Proportional to 81,948 and 123,675

Step by Step Solution

1. Step 1: Write the proportion equation
   81,948 : 123,675 = 123,675 : x
2. Step 2: Convert to fraction form
   81,948/123,675 = 123,675/x
3. Step 3: Cross multiply
   81,948x = 123,675 × 123,675
4. Step 4: Simplify right side
   81,948x = 15,295,505,625
5. Step 5: Solve for x
   x = 15,295,505,625/81,948
6. Step 6: Final answer
   x = 186,648.92