Finding the Third Proportional to 140,089.50 and 200,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,089.50 : 200,155.50 = 200,155.50 : x
2. Step 2: Convert to fraction form
   140,089.50/200,155.50 = 200,155.50/x
3. Step 3: Cross multiply
   140,089.50x = 200,155.50 × 200,155.50
4. Step 4: Simplify right side
   140,089.50x = 40,062,224,180.25
5. Step 5: Solve for x
   x = 40,062,224,180.25/140,089.50
6. Step 6: Final answer
   x = 285,975.92