Finding the Third Proportional to 105,823 and 159,815

Step by Step Solution

1. Step 1: Write the proportion equation
   105,823 : 159,815 = 159,815 : x
2. Step 2: Convert to fraction form
   105,823/159,815 = 159,815/x
3. Step 3: Cross multiply
   105,823x = 159,815 × 159,815
4. Step 4: Simplify right side
   105,823x = 25,540,834,225
5. Step 5: Solve for x
   x = 25,540,834,225/105,823
6. Step 6: Final answer
   x = 241,354.28