Finding the Third Proportional to 78,796 and 168,665

Step by Step Solution

1. Step 1: Write the proportion equation
   78,796 : 168,665 = 168,665 : x
2. Step 2: Convert to fraction form
   78,796/168,665 = 168,665/x
3. Step 3: Cross multiply
   78,796x = 168,665 × 168,665
4. Step 4: Simplify right side
   78,796x = 28,447,882,225
5. Step 5: Solve for x
   x = 28,447,882,225/78,796
6. Step 6: Final answer
   x = 361,032.06