Finding the Third Proportional to 281,724 and 664,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   281,724 : 664,375.50 = 664,375.50 : x
2. Step 2: Convert to fraction form
   281,724/664,375.50 = 664,375.50/x
3. Step 3: Cross multiply
   281,724x = 664,375.50 × 664,375.50
4. Step 4: Simplify right side
   281,724x = 441,394,805,000.25
5. Step 5: Solve for x
   x = 441,394,805,000.25/281,724
6. Step 6: Final answer
   x = 1,566,763.23