Finding the Third Proportional to 105.25 and 252.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 252.50 = 252.50 : x
2. Step 2: Convert to fraction form
   105.25/252.50 = 252.50/x
3. Step 3: Cross multiply
   105.25x = 252.50 × 252.50
4. Step 4: Simplify right side
   105.25x = 63,756.25
5. Step 5: Solve for x
   x = 63,756.25/105.25
6. Step 6: Final answer
   x = 605.76