Finding the Third Proportional to 333,864 and 516,996

Step by Step Solution

1. Step 1: Write the proportion equation
   333,864 : 516,996 = 516,996 : x
2. Step 2: Convert to fraction form
   333,864/516,996 = 516,996/x
3. Step 3: Cross multiply
   333,864x = 516,996 × 516,996
4. Step 4: Simplify right side
   333,864x = 267,284,864,016
5. Step 5: Solve for x
   x = 267,284,864,016/333,864
6. Step 6: Final answer
   x = 800,580.07