Finding the Third Proportional to 172.55 and 379.27

Step by Step Solution

1. Step 1: Write the proportion equation
   172.55 : 379.27 = 379.27 : x
2. Step 2: Convert to fraction form
   172.55/379.27 = 379.27/x
3. Step 3: Cross multiply
   172.55x = 379.27 × 379.27
4. Step 4: Simplify right side
   172.55x = 143,842.41
5. Step 5: Solve for x
   x = 143,842.41/172.55
6. Step 6: Final answer
   x = 833.64