Finding the Third Proportional to 106.50 and 168.69

Step by Step Solution

1. Step 1: Write the proportion equation
   106.50 : 168.69 = 168.69 : x
2. Step 2: Convert to fraction form
   106.50/168.69 = 168.69/x
3. Step 3: Cross multiply
   106.50x = 168.69 × 168.69
4. Step 4: Simplify right side
   106.50x = 28,455.47
5. Step 5: Solve for x
   x = 28,455.47/106.50
6. Step 6: Final answer
   x = 267.19