Finding the Third Proportional to 78,620 and 169,694

Step by Step Solution

1. Step 1: Write the proportion equation
   78,620 : 169,694 = 169,694 : x
2. Step 2: Convert to fraction form
   78,620/169,694 = 169,694/x
3. Step 3: Cross multiply
   78,620x = 169,694 × 169,694
4. Step 4: Simplify right side
   78,620x = 28,796,053,636
5. Step 5: Solve for x
   x = 28,796,053,636/78,620
6. Step 6: Final answer
   x = 366,268.81