Finding the Third Proportional to 78,794 and 168,658

Step by Step Solution

1. Step 1: Write the proportion equation
   78,794 : 168,658 = 168,658 : x
2. Step 2: Convert to fraction form
   78,794/168,658 = 168,658/x
3. Step 3: Cross multiply
   78,794x = 168,658 × 168,658
4. Step 4: Simplify right side
   78,794x = 28,445,520,964
5. Step 5: Solve for x
   x = 28,445,520,964/78,794
6. Step 6: Final answer
   x = 361,011.26