Finding the Third Proportional to 55,146 and 82,499

Step by Step Solution

1. Step 1: Write the proportion equation
   55,146 : 82,499 = 82,499 : x
2. Step 2: Convert to fraction form
   55,146/82,499 = 82,499/x
3. Step 3: Cross multiply
   55,146x = 82,499 × 82,499
4. Step 4: Simplify right side
   55,146x = 6,806,085,001
5. Step 5: Solve for x
   x = 6,806,085,001/55,146
6. Step 6: Final answer
   x = 123,419.38