Finding the Third Proportional to 396 and 443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   396 : 443.25 = 443.25 : x
2. Step 2: Convert to fraction form
   396/443.25 = 443.25/x
3. Step 3: Cross multiply
   396x = 443.25 × 443.25
4. Step 4: Simplify right side
   396x = 196,470.56
5. Step 5: Solve for x
   x = 196,470.56/396
6. Step 6: Final answer
   x = 496.14