Finding the Third Proportional to 222,840 and 476,784

Step by Step Solution

1. Step 1: Write the proportion equation
   222,840 : 476,784 = 476,784 : x
2. Step 2: Convert to fraction form
   222,840/476,784 = 476,784/x
3. Step 3: Cross multiply
   222,840x = 476,784 × 476,784
4. Step 4: Simplify right side
   222,840x = 227,322,982,656
5. Step 5: Solve for x
   x = 227,322,982,656/222,840
6. Step 6: Final answer
   x = 1,020,117.50