Finding the Third Proportional to 424.75 and 613.38

Step by Step Solution

1. Step 1: Write the proportion equation
   424.75 : 613.38 = 613.38 : x
2. Step 2: Convert to fraction form
   424.75/613.38 = 613.38/x
3. Step 3: Cross multiply
   424.75x = 613.38 × 613.38
4. Step 4: Simplify right side
   424.75x = 376,228.89
5. Step 5: Solve for x
   x = 376,228.89/424.75
6. Step 6: Final answer
   x = 885.77