Finding the Third Proportional to 224,576 and 474,466

Step by Step Solution

1. Step 1: Write the proportion equation
   224,576 : 474,466 = 474,466 : x
2. Step 2: Convert to fraction form
   224,576/474,466 = 474,466/x
3. Step 3: Cross multiply
   224,576x = 474,466 × 474,466
4. Step 4: Simplify right side
   224,576x = 225,117,985,156
5. Step 5: Solve for x
   x = 225,117,985,156/224,576
6. Step 6: Final answer
   x = 1,002,413.37