Finding the Third Proportional to 105.25 and 226.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 226.25 = 226.25 : x
2. Step 2: Convert to fraction form
   105.25/226.25 = 226.25/x
3. Step 3: Cross multiply
   105.25x = 226.25 × 226.25
4. Step 4: Simplify right side
   105.25x = 51,189.06
5. Step 5: Solve for x
   x = 51,189.06/105.25
6. Step 6: Final answer
   x = 486.36