Finding the Third Proportional to 426.75 and 601.38

Step by Step Solution

1. Step 1: Write the proportion equation
   426.75 : 601.38 = 601.38 : x
2. Step 2: Convert to fraction form
   426.75/601.38 = 601.38/x
3. Step 3: Cross multiply
   426.75x = 601.38 × 601.38
4. Step 4: Simplify right side
   426.75x = 361,651.89
5. Step 5: Solve for x
   x = 361,651.89/426.75
6. Step 6: Final answer
   x = 847.46