Finding the Third Proportional to 80,578 and 174,998

Step by Step Solution

1. Step 1: Write the proportion equation
   80,578 : 174,998 = 174,998 : x
2. Step 2: Convert to fraction form
   80,578/174,998 = 174,998/x
3. Step 3: Cross multiply
   80,578x = 174,998 × 174,998
4. Step 4: Simplify right side
   80,578x = 30,624,300,004
5. Step 5: Solve for x
   x = 30,624,300,004/80,578
6. Step 6: Final answer
   x = 380,057.83