Finding the Third Proportional to 227,538 and 495,206

Step by Step Solution

1. Step 1: Write the proportion equation
   227,538 : 495,206 = 495,206 : x
2. Step 2: Convert to fraction form
   227,538/495,206 = 495,206/x
3. Step 3: Cross multiply
   227,538x = 495,206 × 495,206
4. Step 4: Simplify right side
   227,538x = 245,228,982,436
5. Step 5: Solve for x
   x = 245,228,982,436/227,538
6. Step 6: Final answer
   x = 1,077,749.57