Finding the Third Proportional to 77.69 and 170.56

Step by Step Solution

1. Step 1: Write the proportion equation
   77.69 : 170.56 = 170.56 : x
2. Step 2: Convert to fraction form
   77.69/170.56 = 170.56/x
3. Step 3: Cross multiply
   77.69x = 170.56 × 170.56
4. Step 4: Simplify right side
   77.69x = 29,091.57
5. Step 5: Solve for x
   x = 29,091.57/77.69
6. Step 6: Final answer
   x = 374.47