Finding the Third Proportional to 281,459.50 and 414,744

Step by Step Solution

1. Step 1: Write the proportion equation
   281,459.50 : 414,744 = 414,744 : x
2. Step 2: Convert to fraction form
   281,459.50/414,744 = 414,744/x
3. Step 3: Cross multiply
   281,459.50x = 414,744 × 414,744
4. Step 4: Simplify right side
   281,459.50x = 172,012,585,536
5. Step 5: Solve for x
   x = 172,012,585,536/281,459.50
6. Step 6: Final answer
   x = 611,145.07