Finding the Third Proportional to 217,165.50 and 327,456.56

Step by Step Solution

1. Step 1: Write the proportion equation
   217,165.50 : 327,456.56 = 327,456.56 : x
2. Step 2: Convert to fraction form
   217,165.50/327,456.56 = 327,456.56/x
3. Step 3: Cross multiply
   217,165.50x = 327,456.56 × 327,456.56
4. Step 4: Simplify right side
   217,165.50x = 107,227,800,324.32
5. Step 5: Solve for x
   x = 107,227,800,324.32/217,165.50
6. Step 6: Final answer
   x = 493,760.75