Finding the Third Proportional to 321.43 and 451.71

Step by Step Solution

1. Step 1: Write the proportion equation
   321.43 : 451.71 = 451.71 : x
2. Step 2: Convert to fraction form
   321.43/451.71 = 451.71/x
3. Step 3: Cross multiply
   321.43x = 451.71 × 451.71
4. Step 4: Simplify right side
   321.43x = 204,041.45
5. Step 5: Solve for x
   x = 204,041.45/321.43
6. Step 6: Final answer
   x = 634.79