Finding the Third Proportional to 105.89 and 164.11

Step by Step Solution

1. Step 1: Write the proportion equation
   105.89 : 164.11 = 164.11 : x
2. Step 2: Convert to fraction form
   105.89/164.11 = 164.11/x
3. Step 3: Cross multiply
   105.89x = 164.11 × 164.11
4. Step 4: Simplify right side
   105.89x = 26,931.89
5. Step 5: Solve for x
   x = 26,931.89/105.89
6. Step 6: Final answer
   x = 254.34