Finding the Third Proportional to 443.75 and 853.25

Step by Step Solution

1. Step 1: Write the proportion equation
   443.75 : 853.25 = 853.25 : x
2. Step 2: Convert to fraction form
   443.75/853.25 = 853.25/x
3. Step 3: Cross multiply
   443.75x = 853.25 × 853.25
4. Step 4: Simplify right side
   443.75x = 728,035.56
5. Step 5: Solve for x
   x = 728,035.56/443.75
6. Step 6: Final answer
   x = 1,640.64