Finding the Third Proportional to 91.50 and 172.75

Step by Step Solution

1. Step 1: Write the proportion equation
   91.50 : 172.75 = 172.75 : x
2. Step 2: Convert to fraction form
   91.50/172.75 = 172.75/x
3. Step 3: Cross multiply
   91.50x = 172.75 × 172.75
4. Step 4: Simplify right side
   91.50x = 29,842.56
5. Step 5: Solve for x
   x = 29,842.56/91.50
6. Step 6: Final answer
   x = 326.15