Finding the Third Proportional to 150,028 and 320,144

Step by Step Solution

1. Step 1: Write the proportion equation
   150,028 : 320,144 = 320,144 : x
2. Step 2: Convert to fraction form
   150,028/320,144 = 320,144/x
3. Step 3: Cross multiply
   150,028x = 320,144 × 320,144
4. Step 4: Simplify right side
   150,028x = 102,492,180,736
5. Step 5: Solve for x
   x = 102,492,180,736/150,028
6. Step 6: Final answer
   x = 683,153.68