Finding the Third Proportional to 80,582 and 174,556

Step by Step Solution

1. Step 1: Write the proportion equation
   80,582 : 174,556 = 174,556 : x
2. Step 2: Convert to fraction form
   80,582/174,556 = 174,556/x
3. Step 3: Cross multiply
   80,582x = 174,556 × 174,556
4. Step 4: Simplify right side
   80,582x = 30,469,797,136
5. Step 5: Solve for x
   x = 30,469,797,136/80,582
6. Step 6: Final answer
   x = 378,121.63