Finding the Third Proportional to 281,499 and 414,801

Step by Step Solution

1. Step 1: Write the proportion equation
   281,499 : 414,801 = 414,801 : x
2. Step 2: Convert to fraction form
   281,499/414,801 = 414,801/x
3. Step 3: Cross multiply
   281,499x = 414,801 × 414,801
4. Step 4: Simplify right side
   281,499x = 172,059,869,601
5. Step 5: Solve for x
   x = 172,059,869,601/281,499
6. Step 6: Final answer
   x = 611,227.29