Finding the Third Proportional to 212,933.50 and 329,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,933.50 : 329,650.50 = 329,650.50 : x
2. Step 2: Convert to fraction form
   212,933.50/329,650.50 = 329,650.50/x
3. Step 3: Cross multiply
   212,933.50x = 329,650.50 × 329,650.50
4. Step 4: Simplify right side
   212,933.50x = 108,669,452,150.25
5. Step 5: Solve for x
   x = 108,669,452,150.25/212,933.50
6. Step 6: Final answer
   x = 510,344.55