Finding the Third Proportional to 72,689 and 159,256

Step by Step Solution

1. Step 1: Write the proportion equation
   72,689 : 159,256 = 159,256 : x
2. Step 2: Convert to fraction form
   72,689/159,256 = 159,256/x
3. Step 3: Cross multiply
   72,689x = 159,256 × 159,256
4. Step 4: Simplify right side
   72,689x = 25,362,473,536
5. Step 5: Solve for x
   x = 25,362,473,536/72,689
6. Step 6: Final answer
   x = 348,917.63