Finding the Third Proportional to 174.50 and 379.38

Step by Step Solution

1. Step 1: Write the proportion equation
   174.50 : 379.38 = 379.38 : x
2. Step 2: Convert to fraction form
   174.50/379.38 = 379.38/x
3. Step 3: Cross multiply
   174.50x = 379.38 × 379.38
4. Step 4: Simplify right side
   174.50x = 143,925.39
5. Step 5: Solve for x
   x = 143,925.39/174.50
6. Step 6: Final answer
   x = 824.79