Finding the Third Proportional to 424.83 and 601.38

Step by Step Solution

1. Step 1: Write the proportion equation
   424.83 : 601.38 = 601.38 : x
2. Step 2: Convert to fraction form
   424.83/601.38 = 601.38/x
3. Step 3: Cross multiply
   424.83x = 601.38 × 601.38
4. Step 4: Simplify right side
   424.83x = 361,661.29
5. Step 5: Solve for x
   x = 361,661.29/424.83
6. Step 6: Final answer
   x = 851.31