Finding the Third Proportional to 78,104 and 166,568

Step by Step Solution

1. Step 1: Write the proportion equation
   78,104 : 166,568 = 166,568 : x
2. Step 2: Convert to fraction form
   78,104/166,568 = 166,568/x
3. Step 3: Cross multiply
   78,104x = 166,568 × 166,568
4. Step 4: Simplify right side
   78,104x = 27,744,898,624
5. Step 5: Solve for x
   x = 27,744,898,624/78,104
6. Step 6: Final answer
   x = 355,230.19