Finding the Third Proportional to 227,123 and 477,784

Step by Step Solution

1. Step 1: Write the proportion equation
   227,123 : 477,784 = 477,784 : x
2. Step 2: Convert to fraction form
   227,123/477,784 = 477,784/x
3. Step 3: Cross multiply
   227,123x = 477,784 × 477,784
4. Step 4: Simplify right side
   227,123x = 228,277,550,656
5. Step 5: Solve for x
   x = 228,277,550,656/227,123
6. Step 6: Final answer
   x = 1,005,083.37