Finding the Third Proportional to 214,772 and 466,452

Step by Step Solution

1. Step 1: Write the proportion equation
   214,772 : 466,452 = 466,452 : x
2. Step 2: Convert to fraction form
   214,772/466,452 = 466,452/x
3. Step 3: Cross multiply
   214,772x = 466,452 × 466,452
4. Step 4: Simplify right side
   214,772x = 217,577,468,304
5. Step 5: Solve for x
   x = 217,577,468,304/214,772
6. Step 6: Final answer
   x = 1,013,062.54