Finding the Third Proportional to 105,822 and 159,813

Step by Step Solution

1. Step 1: Write the proportion equation
   105,822 : 159,813 = 159,813 : x
2. Step 2: Convert to fraction form
   105,822/159,813 = 159,813/x
3. Step 3: Cross multiply
   105,822x = 159,813 × 159,813
4. Step 4: Simplify right side
   105,822x = 25,540,194,969
5. Step 5: Solve for x
   x = 25,540,194,969/105,822
6. Step 6: Final answer
   x = 241,350.52