Finding the Third Proportional to 200,858 and 311,003

Step by Step Solution

1. Step 1: Write the proportion equation
   200,858 : 311,003 = 311,003 : x
2. Step 2: Convert to fraction form
   200,858/311,003 = 311,003/x
3. Step 3: Cross multiply
   200,858x = 311,003 × 311,003
4. Step 4: Simplify right side
   200,858x = 96,722,866,009
5. Step 5: Solve for x
   x = 96,722,866,009/200,858
6. Step 6: Final answer
   x = 481,548.49