Finding the Third Proportional to 227,584 and 495,286

Step by Step Solution

1. Step 1: Write the proportion equation
   227,584 : 495,286 = 495,286 : x
2. Step 2: Convert to fraction form
   227,584/495,286 = 495,286/x
3. Step 3: Cross multiply
   227,584x = 495,286 × 495,286
4. Step 4: Simplify right side
   227,584x = 245,308,221,796
5. Step 5: Solve for x
   x = 245,308,221,796/227,584
6. Step 6: Final answer
   x = 1,077,879.91