Finding the Third Proportional to 105.19 and 166.32

Step by Step Solution

1. Step 1: Write the proportion equation
   105.19 : 166.32 = 166.32 : x
2. Step 2: Convert to fraction form
   105.19/166.32 = 166.32/x
3. Step 3: Cross multiply
   105.19x = 166.32 × 166.32
4. Step 4: Simplify right side
   105.19x = 27,662.65
5. Step 5: Solve for x
   x = 27,662.65/105.19
6. Step 6: Final answer
   x = 262.99