Finding the Third Proportional to 150,468 and 321,672

Step by Step Solution

1. Step 1: Write the proportion equation
   150,468 : 321,672 = 321,672 : x
2. Step 2: Convert to fraction form
   150,468/321,672 = 321,672/x
3. Step 3: Cross multiply
   150,468x = 321,672 × 321,672
4. Step 4: Simplify right side
   150,468x = 103,472,875,584
5. Step 5: Solve for x
   x = 103,472,875,584/150,468
6. Step 6: Final answer
   x = 687,673.63