Finding the Third Proportional to 414.28 and 854.72

Step by Step Solution

1. Step 1: Write the proportion equation
   414.28 : 854.72 = 854.72 : x
2. Step 2: Convert to fraction form
   414.28/854.72 = 854.72/x
3. Step 3: Cross multiply
   414.28x = 854.72 × 854.72
4. Step 4: Simplify right side
   414.28x = 730,544.14
5. Step 5: Solve for x
   x = 730,544.14/414.28
6. Step 6: Final answer
   x = 1,763.40