Finding the Third Proportional to 281,498.50 and 414,800

Step by Step Solution

1. Step 1: Write the proportion equation
   281,498.50 : 414,800 = 414,800 : x
2. Step 2: Convert to fraction form
   281,498.50/414,800 = 414,800/x
3. Step 3: Cross multiply
   281,498.50x = 414,800 × 414,800
4. Step 4: Simplify right side
   281,498.50x = 172,059,040,000
5. Step 5: Solve for x
   x = 172,059,040,000/281,498.50
6. Step 6: Final answer
   x = 611,225.42