Finding the Third Proportional to 105,829 and 159,836

Step by Step Solution

1. Step 1: Write the proportion equation
   105,829 : 159,836 = 159,836 : x
2. Step 2: Convert to fraction form
   105,829/159,836 = 159,836/x
3. Step 3: Cross multiply
   105,829x = 159,836 × 159,836
4. Step 4: Simplify right side
   105,829x = 25,547,546,896
5. Step 5: Solve for x
   x = 25,547,546,896/105,829
6. Step 6: Final answer
   x = 241,404.03