Finding the Third Proportional to 150,684 and 321,360

Step by Step Solution

1. Step 1: Write the proportion equation
   150,684 : 321,360 = 321,360 : x
2. Step 2: Convert to fraction form
   150,684/321,360 = 321,360/x
3. Step 3: Cross multiply
   150,684x = 321,360 × 321,360
4. Step 4: Simplify right side
   150,684x = 103,272,249,600
5. Step 5: Solve for x
   x = 103,272,249,600/150,684
6. Step 6: Final answer
   x = 685,356.44