Finding the Third Proportional to 226,338 and 477,462

Step by Step Solution

1. Step 1: Write the proportion equation
   226,338 : 477,462 = 477,462 : x
2. Step 2: Convert to fraction form
   226,338/477,462 = 477,462/x
3. Step 3: Cross multiply
   226,338x = 477,462 × 477,462
4. Step 4: Simplify right side
   226,338x = 227,969,961,444
5. Step 5: Solve for x
   x = 227,969,961,444/226,338
6. Step 6: Final answer
   x = 1,007,210.28