Finding the Third Proportional to 213,714 and 332,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,714 : 332,227.50 = 332,227.50 : x
2. Step 2: Convert to fraction form
   213,714/332,227.50 = 332,227.50/x
3. Step 3: Cross multiply
   213,714x = 332,227.50 × 332,227.50
4. Step 4: Simplify right side
   213,714x = 110,375,111,756.25
5. Step 5: Solve for x
   x = 110,375,111,756.25/213,714
6. Step 6: Final answer
   x = 516,461.77