Finding the Third Proportional to 205.50 and 287.25

Step by Step Solution

1. Step 1: Write the proportion equation
   205.50 : 287.25 = 287.25 : x
2. Step 2: Convert to fraction form
   205.50/287.25 = 287.25/x
3. Step 3: Cross multiply
   205.50x = 287.25 × 287.25
4. Step 4: Simplify right side
   205.50x = 82,512.56
5. Step 5: Solve for x
   x = 82,512.56/205.50
6. Step 6: Final answer
   x = 401.52