Finding the Third Proportional to 79,788 and 172,874

Step by Step Solution

1. Step 1: Write the proportion equation
   79,788 : 172,874 = 172,874 : x
2. Step 2: Convert to fraction form
   79,788/172,874 = 172,874/x
3. Step 3: Cross multiply
   79,788x = 172,874 × 172,874
4. Step 4: Simplify right side
   79,788x = 29,885,419,876
5. Step 5: Solve for x
   x = 29,885,419,876/79,788
6. Step 6: Final answer
   x = 374,560.33