Finding the Third Proportional to 80,578 and 174,548

Step by Step Solution

1. Step 1: Write the proportion equation
   80,578 : 174,548 = 174,548 : x
2. Step 2: Convert to fraction form
   80,578/174,548 = 174,548/x
3. Step 3: Cross multiply
   80,578x = 174,548 × 174,548
4. Step 4: Simplify right side
   80,578x = 30,467,004,304
5. Step 5: Solve for x
   x = 30,467,004,304/80,578
6. Step 6: Final answer
   x = 378,105.74