Finding the Third Proportional to 411.25 and 601.75

Step by Step Solution

1. Step 1: Write the proportion equation
   411.25 : 601.75 = 601.75 : x
2. Step 2: Convert to fraction form
   411.25/601.75 = 601.75/x
3. Step 3: Cross multiply
   411.25x = 601.75 × 601.75
4. Step 4: Simplify right side
   411.25x = 362,103.06
5. Step 5: Solve for x
   x = 362,103.06/411.25
6. Step 6: Final answer
   x = 880.49