Finding the Third Proportional to 105,016.50 and 159,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,016.50 : 159,466.50 = 159,466.50 : x
2. Step 2: Convert to fraction form
   105,016.50/159,466.50 = 159,466.50/x
3. Step 3: Cross multiply
   105,016.50x = 159,466.50 × 159,466.50
4. Step 4: Simplify right side
   105,016.50x = 25,429,564,622.25
5. Step 5: Solve for x
   x = 25,429,564,622.25/105,016.50
6. Step 6: Final answer
   x = 242,148.28