Finding the Third Proportional to 81,976 and 123,541

Step by Step Solution

1. Step 1: Write the proportion equation
   81,976 : 123,541 = 123,541 : x
2. Step 2: Convert to fraction form
   81,976/123,541 = 123,541/x
3. Step 3: Cross multiply
   81,976x = 123,541 × 123,541
4. Step 4: Simplify right side
   81,976x = 15,262,378,681
5. Step 5: Solve for x
   x = 15,262,378,681/81,976
6. Step 6: Final answer
   x = 186,181.06