Finding the Third Proportional to 72,896 and 159,456

Step by Step Solution

1. Step 1: Write the proportion equation
   72,896 : 159,456 = 159,456 : x
2. Step 2: Convert to fraction form
   72,896/159,456 = 159,456/x
3. Step 3: Cross multiply
   72,896x = 159,456 × 159,456
4. Step 4: Simplify right side
   72,896x = 25,426,215,936
5. Step 5: Solve for x
   x = 25,426,215,936/72,896
6. Step 6: Final answer
   x = 348,801.25