Finding the Third Proportional to 78,978 and 168,804

Step by Step Solution

1. Step 1: Write the proportion equation
   78,978 : 168,804 = 168,804 : x
2. Step 2: Convert to fraction form
   78,978/168,804 = 168,804/x
3. Step 3: Cross multiply
   78,978x = 168,804 × 168,804
4. Step 4: Simplify right side
   78,978x = 28,494,790,416
5. Step 5: Solve for x
   x = 28,494,790,416/78,978
6. Step 6: Final answer
   x = 360,794.02