Finding the Third Proportional to 105.25 and 114

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 114 = 114 : x
2. Step 2: Convert to fraction form
   105.25/114 = 114/x
3. Step 3: Cross multiply
   105.25x = 114 × 114
4. Step 4: Simplify right side
   105.25x = 12,996
5. Step 5: Solve for x
   x = 12,996/105.25
6. Step 6: Final answer
   x = 123.48