Finding the Third Proportional to 213,717 and 332,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,717 : 332,233.50 = 332,233.50 : x
2. Step 2: Convert to fraction form
   213,717/332,233.50 = 332,233.50/x
3. Step 3: Cross multiply
   213,717x = 332,233.50 × 332,233.50
4. Step 4: Simplify right side
   213,717x = 110,379,098,522.25
5. Step 5: Solve for x
   x = 110,379,098,522.25/213,717
6. Step 6: Final answer
   x = 516,473.18