Finding the Third Proportional to 227,846 and 498,584

Step by Step Solution

1. Step 1: Write the proportion equation
   227,846 : 498,584 = 498,584 : x
2. Step 2: Convert to fraction form
   227,846/498,584 = 498,584/x
3. Step 3: Cross multiply
   227,846x = 498,584 × 498,584
4. Step 4: Simplify right side
   227,846x = 248,586,005,056
5. Step 5: Solve for x
   x = 248,586,005,056/227,846
6. Step 6: Final answer
   x = 1,091,026.42