Finding the Third Proportional to 172.69 and 379.41

Step by Step Solution

1. Step 1: Write the proportion equation
   172.69 : 379.41 = 379.41 : x
2. Step 2: Convert to fraction form
   172.69/379.41 = 379.41/x
3. Step 3: Cross multiply
   172.69x = 379.41 × 379.41
4. Step 4: Simplify right side
   172.69x = 143,949.10
5. Step 5: Solve for x
   x = 143,949.10/172.69
6. Step 6: Final answer
   x = 833.58