Finding the Third Proportional to 89.81 and 170.06

Step by Step Solution

1. Step 1: Write the proportion equation
   89.81 : 170.06 = 170.06 : x
2. Step 2: Convert to fraction form
   89.81/170.06 = 170.06/x
3. Step 3: Cross multiply
   89.81x = 170.06 × 170.06
4. Step 4: Simplify right side
   89.81x = 28,921.25
5. Step 5: Solve for x
   x = 28,921.25/89.81
6. Step 6: Final answer
   x = 322.02