Finding the Third Proportional to 204,426 and 281,499

Step by Step Solution

1. Step 1: Write the proportion equation
   204,426 : 281,499 = 281,499 : x
2. Step 2: Convert to fraction form
   204,426/281,499 = 281,499/x
3. Step 3: Cross multiply
   204,426x = 281,499 × 281,499
4. Step 4: Simplify right side
   204,426x = 79,241,687,001
5. Step 5: Solve for x
   x = 79,241,687,001/204,426
6. Step 6: Final answer
   x = 387,630.18