Finding the Third Proportional to 105,826 and 159,819

Step by Step Solution

1. Step 1: Write the proportion equation
   105,826 : 159,819 = 159,819 : x
2. Step 2: Convert to fraction form
   105,826/159,819 = 159,819/x
3. Step 3: Cross multiply
   105,826x = 159,819 × 159,819
4. Step 4: Simplify right side
   105,826x = 25,542,112,761
5. Step 5: Solve for x
   x = 25,542,112,761/105,826
6. Step 6: Final answer
   x = 241,359.52