Finding the Third Proportional to 105,830 and 159,826

Step by Step Solution

1. Step 1: Write the proportion equation
   105,830 : 159,826 = 159,826 : x
2. Step 2: Convert to fraction form
   105,830/159,826 = 159,826/x
3. Step 3: Cross multiply
   105,830x = 159,826 × 159,826
4. Step 4: Simplify right side
   105,830x = 25,544,350,276
5. Step 5: Solve for x
   x = 25,544,350,276/105,830
6. Step 6: Final answer
   x = 241,371.54