Finding the Third Proportional to 106.31 and 166.03

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 166.03 = 166.03 : x
2. Step 2: Convert to fraction form
   106.31/166.03 = 166.03/x
3. Step 3: Cross multiply
   106.31x = 166.03 × 166.03
4. Step 4: Simplify right side
   106.31x = 27,566.38
5. Step 5: Solve for x
   x = 27,566.38/106.31
6. Step 6: Final answer
   x = 259.30