Finding the Third Proportional to 78,080 and 173,626

Step by Step Solution

1. Step 1: Write the proportion equation
   78,080 : 173,626 = 173,626 : x
2. Step 2: Convert to fraction form
   78,080/173,626 = 173,626/x
3. Step 3: Cross multiply
   78,080x = 173,626 × 173,626
4. Step 4: Simplify right side
   78,080x = 30,145,987,876
5. Step 5: Solve for x
   x = 30,145,987,876/78,080
6. Step 6: Final answer
   x = 386,091.03