Finding the Third Proportional to 78,668 and 169,856

Step by Step Solution

1. Step 1: Write the proportion equation
   78,668 : 169,856 = 169,856 : x
2. Step 2: Convert to fraction form
   78,668/169,856 = 169,856/x
3. Step 3: Cross multiply
   78,668x = 169,856 × 169,856
4. Step 4: Simplify right side
   78,668x = 28,851,060,736
5. Step 5: Solve for x
   x = 28,851,060,736/78,668
6. Step 6: Final answer
   x = 366,744.56