Finding the Third Proportional to 80,568 and 174,096

Step by Step Solution

1. Step 1: Write the proportion equation
   80,568 : 174,096 = 174,096 : x
2. Step 2: Convert to fraction form
   80,568/174,096 = 174,096/x
3. Step 3: Cross multiply
   80,568x = 174,096 × 174,096
4. Step 4: Simplify right side
   80,568x = 30,309,417,216
5. Step 5: Solve for x
   x = 30,309,417,216/80,568
6. Step 6: Final answer
   x = 376,196.72