Finding the Third Proportional to 214,474 and 465,812

Step by Step Solution

1. Step 1: Write the proportion equation
   214,474 : 465,812 = 465,812 : x
2. Step 2: Convert to fraction form
   214,474/465,812 = 465,812/x
3. Step 3: Cross multiply
   214,474x = 465,812 × 465,812
4. Step 4: Simplify right side
   214,474x = 216,980,819,344
5. Step 5: Solve for x
   x = 216,980,819,344/214,474
6. Step 6: Final answer
   x = 1,011,688.22