Finding the Third Proportional to 200,858 and 311,008

Step by Step Solution

1. Step 1: Write the proportion equation
   200,858 : 311,008 = 311,008 : x
2. Step 2: Convert to fraction form
   200,858/311,008 = 311,008/x
3. Step 3: Cross multiply
   200,858x = 311,008 × 311,008
4. Step 4: Simplify right side
   200,858x = 96,725,976,064
5. Step 5: Solve for x
   x = 96,725,976,064/200,858
6. Step 6: Final answer
   x = 481,563.97