Finding the Third Proportional to 81,168 and 164,568

Step by Step Solution

1. Step 1: Write the proportion equation
   81,168 : 164,568 = 164,568 : x
2. Step 2: Convert to fraction form
   81,168/164,568 = 164,568/x
3. Step 3: Cross multiply
   81,168x = 164,568 × 164,568
4. Step 4: Simplify right side
   81,168x = 27,082,626,624
5. Step 5: Solve for x
   x = 27,082,626,624/81,168
6. Step 6: Final answer
   x = 333,661.38