Finding the Third Proportional to 78,560 and 161,728

Step by Step Solution

1. Step 1: Write the proportion equation
   78,560 : 161,728 = 161,728 : x
2. Step 2: Convert to fraction form
   78,560/161,728 = 161,728/x
3. Step 3: Cross multiply
   78,560x = 161,728 × 161,728
4. Step 4: Simplify right side
   78,560x = 26,155,945,984
5. Step 5: Solve for x
   x = 26,155,945,984/78,560
6. Step 6: Final answer
   x = 332,942.29