Finding the Third Proportional to 82,404 and 123,687

Step by Step Solution

1. Step 1: Write the proportion equation
   82,404 : 123,687 = 123,687 : x
2. Step 2: Convert to fraction form
   82,404/123,687 = 123,687/x
3. Step 3: Cross multiply
   82,404x = 123,687 × 123,687
4. Step 4: Simplify right side
   82,404x = 15,298,473,969
5. Step 5: Solve for x
   x = 15,298,473,969/82,404
6. Step 6: Final answer
   x = 185,652.08