Finding the Third Proportional to 214,330 and 465,568

Step by Step Solution

1. Step 1: Write the proportion equation
   214,330 : 465,568 = 465,568 : x
2. Step 2: Convert to fraction form
   214,330/465,568 = 465,568/x
3. Step 3: Cross multiply
   214,330x = 465,568 × 465,568
4. Step 4: Simplify right side
   214,330x = 216,753,562,624
5. Step 5: Solve for x
   x = 216,753,562,624/214,330
6. Step 6: Final answer
   x = 1,011,307.62