Finding the Third Proportional to 214,822 and 466,548

Step by Step Solution

1. Step 1: Write the proportion equation
   214,822 : 466,548 = 466,548 : x
2. Step 2: Convert to fraction form
   214,822/466,548 = 466,548/x
3. Step 3: Cross multiply
   214,822x = 466,548 × 466,548
4. Step 4: Simplify right side
   214,822x = 217,667,036,304
5. Step 5: Solve for x
   x = 217,667,036,304/214,822
6. Step 6: Final answer
   x = 1,013,243.69