Finding the Third Proportional to 81,728 and 175,966

Step by Step Solution

1. Step 1: Write the proportion equation
   81,728 : 175,966 = 175,966 : x
2. Step 2: Convert to fraction form
   81,728/175,966 = 175,966/x
3. Step 3: Cross multiply
   81,728x = 175,966 × 175,966
4. Step 4: Simplify right side
   81,728x = 30,964,033,156
5. Step 5: Solve for x
   x = 30,964,033,156/81,728
6. Step 6: Final answer
   x = 378,866.89