Finding the Third Proportional to 72,174 and 173,874

Step by Step Solution

1. Step 1: Write the proportion equation
   72,174 : 173,874 = 173,874 : x
2. Step 2: Convert to fraction form
   72,174/173,874 = 173,874/x
3. Step 3: Cross multiply
   72,174x = 173,874 × 173,874
4. Step 4: Simplify right side
   72,174x = 30,232,167,876
5. Step 5: Solve for x
   x = 30,232,167,876/72,174
6. Step 6: Final answer
   x = 418,878.93