Finding the Third Proportional to 80,574 and 174,540

Step by Step Solution

1. Step 1: Write the proportion equation
   80,574 : 174,540 = 174,540 : x
2. Step 2: Convert to fraction form
   80,574/174,540 = 174,540/x
3. Step 3: Cross multiply
   80,574x = 174,540 × 174,540
4. Step 4: Simplify right side
   80,574x = 30,464,211,600
5. Step 5: Solve for x
   x = 30,464,211,600/80,574
6. Step 6: Final answer
   x = 378,089.85