Finding the Third Proportional to 200,766 and 311,049

Step by Step Solution

1. Step 1: Write the proportion equation
   200,766 : 311,049 = 311,049 : x
2. Step 2: Convert to fraction form
   200,766/311,049 = 311,049/x
3. Step 3: Cross multiply
   200,766x = 311,049 × 311,049
4. Step 4: Simplify right side
   200,766x = 96,751,480,401
5. Step 5: Solve for x
   x = 96,751,480,401/200,766
6. Step 6: Final answer
   x = 481,911.68