Finding the Third Proportional to 105.75 and 258.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 258.56 = 258.56 : x
2. Step 2: Convert to fraction form
   105.75/258.56 = 258.56/x
3. Step 3: Cross multiply
   105.75x = 258.56 × 258.56
4. Step 4: Simplify right side
   105.75x = 66,854.57
5. Step 5: Solve for x
   x = 66,854.57/105.75
6. Step 6: Final answer
   x = 632.19