Finding the Third Proportional to 80,028 and 174,816

Step by Step Solution

1. Step 1: Write the proportion equation
   80,028 : 174,816 = 174,816 : x
2. Step 2: Convert to fraction form
   80,028/174,816 = 174,816/x
3. Step 3: Cross multiply
   80,028x = 174,816 × 174,816
4. Step 4: Simplify right side
   80,028x = 30,560,633,856
5. Step 5: Solve for x
   x = 30,560,633,856/80,028
6. Step 6: Final answer
   x = 381,874.27