Finding the Third Proportional to 411.50 and 626.75

Step by Step Solution

1. Step 1: Write the proportion equation
   411.50 : 626.75 = 626.75 : x
2. Step 2: Convert to fraction form
   411.50/626.75 = 626.75/x
3. Step 3: Cross multiply
   411.50x = 626.75 × 626.75
4. Step 4: Simplify right side
   411.50x = 392,815.56
5. Step 5: Solve for x
   x = 392,815.56/411.50
6. Step 6: Final answer
   x = 954.59