Finding the Third Proportional to 214,754 and 466,414

Step by Step Solution

1. Step 1: Write the proportion equation
   214,754 : 466,414 = 466,414 : x
2. Step 2: Convert to fraction form
   214,754/466,414 = 466,414/x
3. Step 3: Cross multiply
   214,754x = 466,414 × 466,414
4. Step 4: Simplify right side
   214,754x = 217,542,019,396
5. Step 5: Solve for x
   x = 217,542,019,396/214,754
6. Step 6: Final answer
   x = 1,012,982.39