Finding the Third Proportional to 227,848 and 498,584.75

Step by Step Solution

1. Step 1: Write the proportion equation
   227,848 : 498,584.75 = 498,584.75 : x
2. Step 2: Convert to fraction form
   227,848/498,584.75 = 498,584.75/x
3. Step 3: Cross multiply
   227,848x = 498,584.75 × 498,584.75
4. Step 4: Simplify right side
   227,848x = 248,586,752,932.56
5. Step 5: Solve for x
   x = 248,586,752,932.56/227,848
6. Step 6: Final answer
   x = 1,091,020.12