Finding the Third Proportional to 200,864 and 311,012

Step by Step Solution

1. Step 1: Write the proportion equation
   200,864 : 311,012 = 311,012 : x
2. Step 2: Convert to fraction form
   200,864/311,012 = 311,012/x
3. Step 3: Cross multiply
   200,864x = 311,012 × 311,012
4. Step 4: Simplify right side
   200,864x = 96,728,464,144
5. Step 5: Solve for x
   x = 96,728,464,144/200,864
6. Step 6: Final answer
   x = 481,561.97