Finding the Third Proportional to 225,864 and 476,784

Step by Step Solution

1. Step 1: Write the proportion equation
   225,864 : 476,784 = 476,784 : x
2. Step 2: Convert to fraction form
   225,864/476,784 = 476,784/x
3. Step 3: Cross multiply
   225,864x = 476,784 × 476,784
4. Step 4: Simplify right side
   225,864x = 227,322,982,656
5. Step 5: Solve for x
   x = 227,322,982,656/225,864
6. Step 6: Final answer
   x = 1,006,459.56