Finding the Third Proportional to 78,670 and 169,904

Step by Step Solution

1. Step 1: Write the proportion equation
   78,670 : 169,904 = 169,904 : x
2. Step 2: Convert to fraction form
   78,670/169,904 = 169,904/x
3. Step 3: Cross multiply
   78,670x = 169,904 × 169,904
4. Step 4: Simplify right side
   78,670x = 28,867,369,216
5. Step 5: Solve for x
   x = 28,867,369,216/78,670
6. Step 6: Final answer
   x = 366,942.53