Finding the Third Proportional to 89.50 and 170.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 170.75 = 170.75 : x
2. Step 2: Convert to fraction form
   89.50/170.75 = 170.75/x
3. Step 3: Cross multiply
   89.50x = 170.75 × 170.75
4. Step 4: Simplify right side
   89.50x = 29,155.56
5. Step 5: Solve for x
   x = 29,155.56/89.50
6. Step 6: Final answer
   x = 325.76