Finding the Third Proportional to 80,028 and 174,456

Step by Step Solution

1. Step 1: Write the proportion equation
   80,028 : 174,456 = 174,456 : x
2. Step 2: Convert to fraction form
   80,028/174,456 = 174,456/x
3. Step 3: Cross multiply
   80,028x = 174,456 × 174,456
4. Step 4: Simplify right side
   80,028x = 30,434,895,936
5. Step 5: Solve for x
   x = 30,434,895,936/80,028
6. Step 6: Final answer
   x = 380,303.09