Finding the Third Proportional to 150,434 and 321,604

Step by Step Solution

1. Step 1: Write the proportion equation
   150,434 : 321,604 = 321,604 : x
2. Step 2: Convert to fraction form
   150,434/321,604 = 321,604/x
3. Step 3: Cross multiply
   150,434x = 321,604 × 321,604
4. Step 4: Simplify right side
   150,434x = 103,429,132,816
5. Step 5: Solve for x
   x = 103,429,132,816/150,434
6. Step 6: Final answer
   x = 687,538.27