Finding the Third Proportional to 78,658 and 169,838

Step by Step Solution

1. Step 1: Write the proportion equation
   78,658 : 169,838 = 169,838 : x
2. Step 2: Convert to fraction form
   78,658/169,838 = 169,838/x
3. Step 3: Cross multiply
   78,658x = 169,838 × 169,838
4. Step 4: Simplify right side
   78,658x = 28,844,946,244
5. Step 5: Solve for x
   x = 28,844,946,244/78,658
6. Step 6: Final answer
   x = 366,713.45