Finding the Third Proportional to 417.45 and 966.52

Step by Step Solution

1. Step 1: Write the proportion equation
   417.45 : 966.52 = 966.52 : x
2. Step 2: Convert to fraction form
   417.45/966.52 = 966.52/x
3. Step 3: Cross multiply
   417.45x = 966.52 × 966.52
4. Step 4: Simplify right side
   417.45x = 934,152.45
5. Step 5: Solve for x
   x = 934,152.45/417.45
6. Step 6: Final answer
   x = 2,237.78