Finding the Third Proportional to 200,969 and 311,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,969 : 311,040.50 = 311,040.50 : x
2. Step 2: Convert to fraction form
   200,969/311,040.50 = 311,040.50/x
3. Step 3: Cross multiply
   200,969x = 311,040.50 × 311,040.50
4. Step 4: Simplify right side
   200,969x = 96,746,192,640.25
5. Step 5: Solve for x
   x = 96,746,192,640.25/200,969
6. Step 6: Final answer
   x = 481,398.59