Finding the Third Proportional to 55,666 and 83,499

Step by Step Solution

1. Step 1: Write the proportion equation
   55,666 : 83,499 = 83,499 : x
2. Step 2: Convert to fraction form
   55,666/83,499 = 83,499/x
3. Step 3: Cross multiply
   55,666x = 83,499 × 83,499
4. Step 4: Simplify right side
   55,666x = 6,972,083,001
5. Step 5: Solve for x
   x = 6,972,083,001/55,666
6. Step 6: Final answer
   x = 125,248.50