Finding the Third Proportional to 282.38 and 443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   282.38 : 443.25 = 443.25 : x
2. Step 2: Convert to fraction form
   282.38/443.25 = 443.25/x
3. Step 3: Cross multiply
   282.38x = 443.25 × 443.25
4. Step 4: Simplify right side
   282.38x = 196,470.56
5. Step 5: Solve for x
   x = 196,470.56/282.38
6. Step 6: Final answer
   x = 695.78