Finding the Third Proportional to 408.38 and 796.22

Step by Step Solution

1. Step 1: Write the proportion equation
   408.38 : 796.22 = 796.22 : x
2. Step 2: Convert to fraction form
   408.38/796.22 = 796.22/x
3. Step 3: Cross multiply
   408.38x = 796.22 × 796.22
4. Step 4: Simplify right side
   408.38x = 633,964.30
5. Step 5: Solve for x
   x = 633,964.30/408.38
6. Step 6: Final answer
   x = 1,552.41