Finding the Third Proportional to 80,396 and 174,626

Step by Step Solution

1. Step 1: Write the proportion equation
   80,396 : 174,626 = 174,626 : x
2. Step 2: Convert to fraction form
   80,396/174,626 = 174,626/x
3. Step 3: Cross multiply
   80,396x = 174,626 × 174,626
4. Step 4: Simplify right side
   80,396x = 30,494,239,876
5. Step 5: Solve for x
   x = 30,494,239,876/80,396
6. Step 6: Final answer
   x = 379,300.46