Finding the Third Proportional to 221,584 and 474,256

Step by Step Solution

1. Step 1: Write the proportion equation
   221,584 : 474,256 = 474,256 : x
2. Step 2: Convert to fraction form
   221,584/474,256 = 474,256/x
3. Step 3: Cross multiply
   221,584x = 474,256 × 474,256
4. Step 4: Simplify right side
   221,584x = 224,918,753,536
5. Step 5: Solve for x
   x = 224,918,753,536/221,584
6. Step 6: Final answer
   x = 1,015,049.61