Finding the Third Proportional to 105,999 and 143,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,999 : 143,935.50 = 143,935.50 : x
2. Step 2: Convert to fraction form
   105,999/143,935.50 = 143,935.50/x
3. Step 3: Cross multiply
   105,999x = 143,935.50 × 143,935.50
4. Step 4: Simplify right side
   105,999x = 20,717,428,160.25
5. Step 5: Solve for x
   x = 20,717,428,160.25/105,999
6. Step 6: Final answer
   x = 195,449.28