Finding the Third Proportional to 78,818 and 168,694

Step by Step Solution

1. Step 1: Write the proportion equation
   78,818 : 168,694 = 168,694 : x
2. Step 2: Convert to fraction form
   78,818/168,694 = 168,694/x
3. Step 3: Cross multiply
   78,818x = 168,694 × 168,694
4. Step 4: Simplify right side
   78,818x = 28,457,665,636
5. Step 5: Solve for x
   x = 28,457,665,636/78,818
6. Step 6: Final answer
   x = 361,055.41