Finding the Third Proportional to 328.43 and 462.27

Step by Step Solution

1. Step 1: Write the proportion equation
   328.43 : 462.27 = 462.27 : x
2. Step 2: Convert to fraction form
   328.43/462.27 = 462.27/x
3. Step 3: Cross multiply
   328.43x = 462.27 × 462.27
4. Step 4: Simplify right side
   328.43x = 213,693.12
5. Step 5: Solve for x
   x = 213,693.12/328.43
6. Step 6: Final answer
   x = 650.65