Finding the Third Proportional to 140,587.50 and 200,363.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,587.50 : 200,363.25 = 200,363.25 : x
2. Step 2: Convert to fraction form
   140,587.50/200,363.25 = 200,363.25/x
3. Step 3: Cross multiply
   140,587.50x = 200,363.25 × 200,363.25
4. Step 4: Simplify right side
   140,587.50x = 40,145,431,950.56
5. Step 5: Solve for x
   x = 40,145,431,950.56/140,587.50
6. Step 6: Final answer
   x = 285,554.78