Finding the Third Proportional to 80,568 and 166,316

Step by Step Solution

1. Step 1: Write the proportion equation
   80,568 : 166,316 = 166,316 : x
2. Step 2: Convert to fraction form
   80,568/166,316 = 166,316/x
3. Step 3: Cross multiply
   80,568x = 166,316 × 166,316
4. Step 4: Simplify right side
   80,568x = 27,661,011,856
5. Step 5: Solve for x
   x = 27,661,011,856/80,568
6. Step 6: Final answer
   x = 343,325.04