Finding the Third Proportional to 417.50 and 864.25

Step by Step Solution

1. Step 1: Write the proportion equation
   417.50 : 864.25 = 864.25 : x
2. Step 2: Convert to fraction form
   417.50/864.25 = 864.25/x
3. Step 3: Cross multiply
   417.50x = 864.25 × 864.25
4. Step 4: Simplify right side
   417.50x = 746,928.06
5. Step 5: Solve for x
   x = 746,928.06/417.50
6. Step 6: Final answer
   x = 1,789.05