Finding the Third Proportional to 105,729 and 144,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,729 : 144,009.50 = 144,009.50 : x
2. Step 2: Convert to fraction form
   105,729/144,009.50 = 144,009.50/x
3. Step 3: Cross multiply
   105,729x = 144,009.50 × 144,009.50
4. Step 4: Simplify right side
   105,729x = 20,738,736,090.25
5. Step 5: Solve for x
   x = 20,738,736,090.25/105,729
6. Step 6: Final answer
   x = 196,149.93