Finding the Third Proportional to 212,932.50 and 329,649

Step by Step Solution

1. Step 1: Write the proportion equation
   212,932.50 : 329,649 = 329,649 : x
2. Step 2: Convert to fraction form
   212,932.50/329,649 = 329,649/x
3. Step 3: Cross multiply
   212,932.50x = 329,649 × 329,649
4. Step 4: Simplify right side
   212,932.50x = 108,668,463,201
5. Step 5: Solve for x
   x = 108,668,463,201/212,932.50
6. Step 6: Final answer
   x = 510,342.31