Finding the Third Proportional to 72,848 and 159,768

Step by Step Solution

1. Step 1: Write the proportion equation
   72,848 : 159,768 = 159,768 : x
2. Step 2: Convert to fraction form
   72,848/159,768 = 159,768/x
3. Step 3: Cross multiply
   72,848x = 159,768 × 159,768
4. Step 4: Simplify right side
   72,848x = 25,525,813,824
5. Step 5: Solve for x
   x = 25,525,813,824/72,848
6. Step 6: Final answer
   x = 350,398.28