Finding the Third Proportional to 150,584 and 321,160

Step by Step Solution

1. Step 1: Write the proportion equation
   150,584 : 321,160 = 321,160 : x
2. Step 2: Convert to fraction form
   150,584/321,160 = 321,160/x
3. Step 3: Cross multiply
   150,584x = 321,160 × 321,160
4. Step 4: Simplify right side
   150,584x = 103,143,745,600
5. Step 5: Solve for x
   x = 103,143,745,600/150,584
6. Step 6: Final answer
   x = 684,958.20