Finding the Third Proportional to 496.41 and 640.83

Step by Step Solution

1. Step 1: Write the proportion equation
   496.41 : 640.83 = 640.83 : x
2. Step 2: Convert to fraction form
   496.41/640.83 = 640.83/x
3. Step 3: Cross multiply
   496.41x = 640.83 × 640.83
4. Step 4: Simplify right side
   496.41x = 410,660.69
5. Step 5: Solve for x
   x = 410,660.69/496.41
6. Step 6: Final answer
   x = 827.27