Finding the Third Proportional to 50.69 and 119.06

Step by Step Solution

1. Step 1: Write the proportion equation
   50.69 : 119.06 = 119.06 : x
2. Step 2: Convert to fraction form
   50.69/119.06 = 119.06/x
3. Step 3: Cross multiply
   50.69x = 119.06 × 119.06
4. Step 4: Simplify right side
   50.69x = 14,175.88
5. Step 5: Solve for x
   x = 14,175.88/50.69
6. Step 6: Final answer
   x = 279.67