Finding the Third Proportional to 72,540 and 159,336

Step by Step Solution

1. Step 1: Write the proportion equation
   72,540 : 159,336 = 159,336 : x
2. Step 2: Convert to fraction form
   72,540/159,336 = 159,336/x
3. Step 3: Cross multiply
   72,540x = 159,336 × 159,336
4. Step 4: Simplify right side
   72,540x = 25,387,960,896
5. Step 5: Solve for x
   x = 25,387,960,896/72,540
6. Step 6: Final answer
   x = 349,985.68