Finding the Third Proportional to 78,080 and 173,628

Step by Step Solution

1. Step 1: Write the proportion equation
   78,080 : 173,628 = 173,628 : x
2. Step 2: Convert to fraction form
   78,080/173,628 = 173,628/x
3. Step 3: Cross multiply
   78,080x = 173,628 × 173,628
4. Step 4: Simplify right side
   78,080x = 30,146,682,384
5. Step 5: Solve for x
   x = 30,146,682,384/78,080
6. Step 6: Final answer
   x = 386,099.93