Finding the Third Proportional to 120.75 and 281.72

Step by Step Solution

1. Step 1: Write the proportion equation
   120.75 : 281.72 = 281.72 : x
2. Step 2: Convert to fraction form
   120.75/281.72 = 281.72/x
3. Step 3: Cross multiply
   120.75x = 281.72 × 281.72
4. Step 4: Simplify right side
   120.75x = 79,365.45
5. Step 5: Solve for x
   x = 79,365.45/120.75
6. Step 6: Final answer
   x = 657.27