Finding the Third Proportional to 174.41 and 379.83

Step by Step Solution

1. Step 1: Write the proportion equation
   174.41 : 379.83 = 379.83 : x
2. Step 2: Convert to fraction form
   174.41/379.83 = 379.83/x
3. Step 3: Cross multiply
   174.41x = 379.83 × 379.83
4. Step 4: Simplify right side
   174.41x = 144,269.40
5. Step 5: Solve for x
   x = 144,269.40/174.41
6. Step 6: Final answer
   x = 827.18