Finding the Third Proportional to 50.75 and 119.78

Step by Step Solution

1. Step 1: Write the proportion equation
   50.75 : 119.78 = 119.78 : x
2. Step 2: Convert to fraction form
   50.75/119.78 = 119.78/x
3. Step 3: Cross multiply
   50.75x = 119.78 × 119.78
4. Step 4: Simplify right side
   50.75x = 14,347.55
5. Step 5: Solve for x
   x = 14,347.55/50.75
6. Step 6: Final answer
   x = 282.71