Finding the Third Proportional to 282.25 and 447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282.25 : 447.50 = 447.50 : x
2. Step 2: Convert to fraction form
   282.25/447.50 = 447.50/x
3. Step 3: Cross multiply
   282.25x = 447.50 × 447.50
4. Step 4: Simplify right side
   282.25x = 200,256.25
5. Step 5: Solve for x
   x = 200,256.25/282.25
6. Step 6: Final answer
   x = 709.50