Finding the Third Proportional to 456.05 and 628.38

Step by Step Solution

1. Step 1: Write the proportion equation
   456.05 : 628.38 = 628.38 : x
2. Step 2: Convert to fraction form
   456.05/628.38 = 628.38/x
3. Step 3: Cross multiply
   456.05x = 628.38 × 628.38
4. Step 4: Simplify right side
   456.05x = 394,864.96
5. Step 5: Solve for x
   x = 394,864.96/456.05
6. Step 6: Final answer
   x = 865.84