Finding the Third Proportional to 106.31 and 167.06

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 167.06 = 167.06 : x
2. Step 2: Convert to fraction form
   106.31/167.06 = 167.06/x
3. Step 3: Cross multiply
   106.31x = 167.06 × 167.06
4. Step 4: Simplify right side
   106.31x = 27,909.88
5. Step 5: Solve for x
   x = 27,909.88/106.31
6. Step 6: Final answer
   x = 262.53