Finding the Third Proportional to 78,560 and 169,676

Step by Step Solution

1. Step 1: Write the proportion equation
   78,560 : 169,676 = 169,676 : x
2. Step 2: Convert to fraction form
   78,560/169,676 = 169,676/x
3. Step 3: Cross multiply
   78,560x = 169,676 × 169,676
4. Step 4: Simplify right side
   78,560x = 28,789,944,976
5. Step 5: Solve for x
   x = 28,789,944,976/78,560
6. Step 6: Final answer
   x = 366,470.79