Finding the Third Proportional to 120.88 and 176.69

Step by Step Solution

1. Step 1: Write the proportion equation
   120.88 : 176.69 = 176.69 : x
2. Step 2: Convert to fraction form
   120.88/176.69 = 176.69/x
3. Step 3: Cross multiply
   120.88x = 176.69 × 176.69
4. Step 4: Simplify right side
   120.88x = 31,218.47
5. Step 5: Solve for x
   x = 31,218.47/120.88
6. Step 6: Final answer
   x = 258.27