Finding the Third Proportional to 123,822 and 204,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,822 : 204,864 = 204,864 : x
2. Step 2: Convert to fraction form
   123,822/204,864 = 204,864/x
3. Step 3: Cross multiply
   123,822x = 204,864 × 204,864
4. Step 4: Simplify right side
   123,822x = 41,969,258,496
5. Step 5: Solve for x
   x = 41,969,258,496/123,822
6. Step 6: Final answer
   x = 338,948.32