Finding the Third Proportional to 215.25 and 282.56

Step by Step Solution

1. Step 1: Write the proportion equation
   215.25 : 282.56 = 282.56 : x
2. Step 2: Convert to fraction form
   215.25/282.56 = 282.56/x
3. Step 3: Cross multiply
   215.25x = 282.56 × 282.56
4. Step 4: Simplify right side
   215.25x = 79,841.57
5. Step 5: Solve for x
   x = 79,841.57/215.25
6. Step 6: Final answer
   x = 370.92