Finding the Third Proportional to 200,871 and 311,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,871 : 311,035.50 = 311,035.50 : x
2. Step 2: Convert to fraction form
   200,871/311,035.50 = 311,035.50/x
3. Step 3: Cross multiply
   200,871x = 311,035.50 × 311,035.50
4. Step 4: Simplify right side
   200,871x = 96,743,082,260.25
5. Step 5: Solve for x
   x = 96,743,082,260.25/200,871
6. Step 6: Final answer
   x = 481,617.97