Finding the Third Proportional to 411.75 and 600.75

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 600.75 = 600.75 : x
2. Step 2: Convert to fraction form
   411.75/600.75 = 600.75/x
3. Step 3: Cross multiply
   411.75x = 600.75 × 600.75
4. Step 4: Simplify right side
   411.75x = 360,900.56
5. Step 5: Solve for x
   x = 360,900.56/411.75
6. Step 6: Final answer
   x = 876.50