Finding the Third Proportional to 117.56 and 172.69

Step by Step Solution

1. Step 1: Write the proportion equation
   117.56 : 172.69 = 172.69 : x
2. Step 2: Convert to fraction form
   117.56/172.69 = 172.69/x
3. Step 3: Cross multiply
   117.56x = 172.69 × 172.69
4. Step 4: Simplify right side
   117.56x = 29,820.97
5. Step 5: Solve for x
   x = 29,820.97/117.56
6. Step 6: Final answer
   x = 253.66