Finding the Third Proportional to 281,739 and 383,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   281,739 : 383,728.50 = 383,728.50 : x
2. Step 2: Convert to fraction form
   281,739/383,728.50 = 383,728.50/x
3. Step 3: Cross multiply
   281,739x = 383,728.50 × 383,728.50
4. Step 4: Simplify right side
   281,739x = 147,247,561,712.25
5. Step 5: Solve for x
   x = 147,247,561,712.25/281,739
6. Step 6: Final answer
   x = 522,638.19