Finding the Third Proportional to 79,408 and 173,696

Step by Step Solution

1. Step 1: Write the proportion equation
   79,408 : 173,696 = 173,696 : x
2. Step 2: Convert to fraction form
   79,408/173,696 = 173,696/x
3. Step 3: Cross multiply
   79,408x = 173,696 × 173,696
4. Step 4: Simplify right side
   79,408x = 30,170,300,416
5. Step 5: Solve for x
   x = 30,170,300,416/79,408
6. Step 6: Final answer
   x = 379,940.31