Finding the Third Proportional to 414.56 and 844.31

Step by Step Solution

1. Step 1: Write the proportion equation
   414.56 : 844.31 = 844.31 : x
2. Step 2: Convert to fraction form
   414.56/844.31 = 844.31/x
3. Step 3: Cross multiply
   414.56x = 844.31 × 844.31
4. Step 4: Simplify right side
   414.56x = 712,863.60
5. Step 5: Solve for x
   x = 712,863.60/414.56
6. Step 6: Final answer
   x = 1,719.56