Finding the Third Proportional to 150,144 and 329,824

Step by Step Solution

1. Step 1: Write the proportion equation
   150,144 : 329,824 = 329,824 : x
2. Step 2: Convert to fraction form
   150,144/329,824 = 329,824/x
3. Step 3: Cross multiply
   150,144x = 329,824 × 329,824
4. Step 4: Simplify right side
   150,144x = 108,783,870,976
5. Step 5: Solve for x
   x = 108,783,870,976/150,144
6. Step 6: Final answer
   x = 724,530.26