Finding the Third Proportional to 79,744 and 173,510

Step by Step Solution

1. Step 1: Write the proportion equation
   79,744 : 173,510 = 173,510 : x
2. Step 2: Convert to fraction form
   79,744/173,510 = 173,510/x
3. Step 3: Cross multiply
   79,744x = 173,510 × 173,510
4. Step 4: Simplify right side
   79,744x = 30,105,720,100
5. Step 5: Solve for x
   x = 30,105,720,100/79,744
6. Step 6: Final answer
   x = 377,529.60