Finding the Third Proportional to 72,382 and 159,488

Step by Step Solution

1. Step 1: Write the proportion equation
   72,382 : 159,488 = 159,488 : x
2. Step 2: Convert to fraction form
   72,382/159,488 = 159,488/x
3. Step 3: Cross multiply
   72,382x = 159,488 × 159,488
4. Step 4: Simplify right side
   72,382x = 25,436,422,144
5. Step 5: Solve for x
   x = 25,436,422,144/72,382
6. Step 6: Final answer
   x = 351,419.17