Finding the Third Proportional to 226,092 and 477,384

Step by Step Solution

1. Step 1: Write the proportion equation
   226,092 : 477,384 = 477,384 : x
2. Step 2: Convert to fraction form
   226,092/477,384 = 477,384/x
3. Step 3: Cross multiply
   226,092x = 477,384 × 477,384
4. Step 4: Simplify right side
   226,092x = 227,895,483,456
5. Step 5: Solve for x
   x = 227,895,483,456/226,092
6. Step 6: Final answer
   x = 1,007,976.77