Finding the Third Proportional to 105,885 and 159,065

Step by Step Solution

1. Step 1: Write the proportion equation
   105,885 : 159,065 = 159,065 : x
2. Step 2: Convert to fraction form
   105,885/159,065 = 159,065/x
3. Step 3: Cross multiply
   105,885x = 159,065 × 159,065
4. Step 4: Simplify right side
   105,885x = 25,301,674,225
5. Step 5: Solve for x
   x = 25,301,674,225/105,885
6. Step 6: Final answer
   x = 238,954.28