Finding the Third Proportional to 221,410 and 474,404

Step by Step Solution

1. Step 1: Write the proportion equation
   221,410 : 474,404 = 474,404 : x
2. Step 2: Convert to fraction form
   221,410/474,404 = 474,404/x
3. Step 3: Cross multiply
   221,410x = 474,404 × 474,404
4. Step 4: Simplify right side
   221,410x = 225,059,155,216
5. Step 5: Solve for x
   x = 225,059,155,216/221,410
6. Step 6: Final answer
   x = 1,016,481.44