Finding the Third Proportional to 150,576 and 321,144

Step by Step Solution

1. Step 1: Write the proportion equation
   150,576 : 321,144 = 321,144 : x
2. Step 2: Convert to fraction form
   150,576/321,144 = 321,144/x
3. Step 3: Cross multiply
   150,576x = 321,144 × 321,144
4. Step 4: Simplify right side
   150,576x = 103,133,468,736
5. Step 5: Solve for x
   x = 103,133,468,736/150,576
6. Step 6: Final answer
   x = 684,926.34