Finding the Third Proportional to 200,852 and 311,002

Step by Step Solution

1. Step 1: Write the proportion equation
   200,852 : 311,002 = 311,002 : x
2. Step 2: Convert to fraction form
   200,852/311,002 = 311,002/x
3. Step 3: Cross multiply
   200,852x = 311,002 × 311,002
4. Step 4: Simplify right side
   200,852x = 96,722,244,004
5. Step 5: Solve for x
   x = 96,722,244,004/200,852
6. Step 6: Final answer
   x = 481,559.78