Finding the Third Proportional to 80,568 and 174,978

Step by Step Solution

1. Step 1: Write the proportion equation
   80,568 : 174,978 = 174,978 : x
2. Step 2: Convert to fraction form
   80,568/174,978 = 174,978/x
3. Step 3: Cross multiply
   80,568x = 174,978 × 174,978
4. Step 4: Simplify right side
   80,568x = 30,617,300,484
5. Step 5: Solve for x
   x = 30,617,300,484/80,568
6. Step 6: Final answer
   x = 380,018.13