Finding the Third Proportional to 123,009 and 200,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,009 : 200,864 = 200,864 : x
2. Step 2: Convert to fraction form
   123,009/200,864 = 200,864/x
3. Step 3: Cross multiply
   123,009x = 200,864 × 200,864
4. Step 4: Simplify right side
   123,009x = 40,346,346,496
5. Step 5: Solve for x
   x = 40,346,346,496/123,009
6. Step 6: Final answer
   x = 327,995.08