Finding the Third Proportional to 255.75 and 287.06

Step by Step Solution

1. Step 1: Write the proportion equation
   255.75 : 287.06 = 287.06 : x
2. Step 2: Convert to fraction form
   255.75/287.06 = 287.06/x
3. Step 3: Cross multiply
   255.75x = 287.06 × 287.06
4. Step 4: Simplify right side
   255.75x = 82,404.88
5. Step 5: Solve for x
   x = 82,404.88/255.75
6. Step 6: Final answer
   x = 322.21