Finding the Third Proportional to 227,844 and 498,578

Step by Step Solution

1. Step 1: Write the proportion equation
   227,844 : 498,578 = 498,578 : x
2. Step 2: Convert to fraction form
   227,844/498,578 = 498,578/x
3. Step 3: Cross multiply
   227,844x = 498,578 × 498,578
4. Step 4: Simplify right side
   227,844x = 248,580,022,084
5. Step 5: Solve for x
   x = 248,580,022,084/227,844
6. Step 6: Final answer
   x = 1,091,009.74