Finding the Third Proportional to 78,865 and 168,799

Step by Step Solution

1. Step 1: Write the proportion equation
   78,865 : 168,799 = 168,799 : x
2. Step 2: Convert to fraction form
   78,865/168,799 = 168,799/x
3. Step 3: Cross multiply
   78,865x = 168,799 × 168,799
4. Step 4: Simplify right side
   78,865x = 28,493,102,401
5. Step 5: Solve for x
   x = 28,493,102,401/78,865
6. Step 6: Final answer
   x = 361,289.58