Finding the Third Proportional to 143,993.50 and 202,686

Step by Step Solution

1. Step 1: Write the proportion equation
   143,993.50 : 202,686 = 202,686 : x
2. Step 2: Convert to fraction form
   143,993.50/202,686 = 202,686/x
3. Step 3: Cross multiply
   143,993.50x = 202,686 × 202,686
4. Step 4: Simplify right side
   143,993.50x = 41,081,614,596
5. Step 5: Solve for x
   x = 41,081,614,596/143,993.50
6. Step 6: Final answer
   x = 285,301.87