Finding the Third Proportional to 105.25 and 172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.25 : 172.50 = 172.50 : x
2. Step 2: Convert to fraction form
   105.25/172.50 = 172.50/x
3. Step 3: Cross multiply
   105.25x = 172.50 × 172.50
4. Step 4: Simplify right side
   105.25x = 29,756.25
5. Step 5: Solve for x
   x = 29,756.25/105.25
6. Step 6: Final answer
   x = 282.72