Finding the Third Proportional to 105.25 and 248.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 248.75 = 248.75 : x
2. Step 2: Convert to fraction form
   105.25/248.75 = 248.75/x
3. Step 3: Cross multiply
   105.25x = 248.75 × 248.75
4. Step 4: Simplify right side
   105.25x = 61,876.56
5. Step 5: Solve for x
   x = 61,876.56/105.25
6. Step 6: Final answer
   x = 587.90