Finding the Third Proportional to 209.25 and 282.25

Step by Step Solution

1. Step 1: Write the proportion equation
   209.25 : 282.25 = 282.25 : x
2. Step 2: Convert to fraction form
   209.25/282.25 = 282.25/x
3. Step 3: Cross multiply
   209.25x = 282.25 × 282.25
4. Step 4: Simplify right side
   209.25x = 79,665.06
5. Step 5: Solve for x
   x = 79,665.06/209.25
6. Step 6: Final answer
   x = 380.72