Finding the Third Proportional to 79,626 and 173,328

Step by Step Solution

1. Step 1: Write the proportion equation
   79,626 : 173,328 = 173,328 : x
2. Step 2: Convert to fraction form
   79,626/173,328 = 173,328/x
3. Step 3: Cross multiply
   79,626x = 173,328 × 173,328
4. Step 4: Simplify right side
   79,626x = 30,042,595,584
5. Step 5: Solve for x
   x = 30,042,595,584/79,626
6. Step 6: Final answer
   x = 377,296.31