Finding the Third Proportional to 77.25 and 169.69

Step by Step Solution

1. Step 1: Write the proportion equation
   77.25 : 169.69 = 169.69 : x
2. Step 2: Convert to fraction form
   77.25/169.69 = 169.69/x
3. Step 3: Cross multiply
   77.25x = 169.69 × 169.69
4. Step 4: Simplify right side
   77.25x = 28,793.85
5. Step 5: Solve for x
   x = 28,793.85/77.25
6. Step 6: Final answer
   x = 372.74