Finding the Third Proportional to 227,728 and 361,942

Step by Step Solution

1. Step 1: Write the proportion equation
   227,728 : 361,942 = 361,942 : x
2. Step 2: Convert to fraction form
   227,728/361,942 = 361,942/x
3. Step 3: Cross multiply
   227,728x = 361,942 × 361,942
4. Step 4: Simplify right side
   227,728x = 131,002,011,364
5. Step 5: Solve for x
   x = 131,002,011,364/227,728
6. Step 6: Final answer
   x = 575,256.50