Finding the Third Proportional to 105.25 and 223.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 223.75 = 223.75 : x
2. Step 2: Convert to fraction form
   105.25/223.75 = 223.75/x
3. Step 3: Cross multiply
   105.25x = 223.75 × 223.75
4. Step 4: Simplify right side
   105.25x = 50,064.06
5. Step 5: Solve for x
   x = 50,064.06/105.25
6. Step 6: Final answer
   x = 475.67