Finding the Third Proportional to 227,848 and 498,654

Step by Step Solution

1. Step 1: Write the proportion equation
   227,848 : 498,654 = 498,654 : x
2. Step 2: Convert to fraction form
   227,848/498,654 = 498,654/x
3. Step 3: Cross multiply
   227,848x = 498,654 × 498,654
4. Step 4: Simplify right side
   227,848x = 248,655,811,716
5. Step 5: Solve for x
   x = 248,655,811,716/227,848
6. Step 6: Final answer
   x = 1,091,323.21