Finding the Third Proportional to 105.66 and 174.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.66 : 174.56 = 174.56 : x
2. Step 2: Convert to fraction form
   105.66/174.56 = 174.56/x
3. Step 3: Cross multiply
   105.66x = 174.56 × 174.56
4. Step 4: Simplify right side
   105.66x = 30,472.07
5. Step 5: Solve for x
   x = 30,472.07/105.66
6. Step 6: Final answer
   x = 288.41