Finding the Third Proportional to 106.31 and 168.96

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 168.96 = 168.96 : x
2. Step 2: Convert to fraction form
   106.31/168.96 = 168.96/x
3. Step 3: Cross multiply
   106.31x = 168.96 × 168.96
4. Step 4: Simplify right side
   106.31x = 28,547.80
5. Step 5: Solve for x
   x = 28,547.80/106.31
6. Step 6: Final answer
   x = 268.53