Finding the Third Proportional to 108.25 and 172.06

Step by Step Solution

1. Step 1: Write the proportion equation
   108.25 : 172.06 = 172.06 : x
2. Step 2: Convert to fraction form
   108.25/172.06 = 172.06/x
3. Step 3: Cross multiply
   108.25x = 172.06 × 172.06
4. Step 4: Simplify right side
   108.25x = 29,605.50
5. Step 5: Solve for x
   x = 29,605.50/108.25
6. Step 6: Final answer
   x = 273.49