Finding the Third Proportional to 333,773 and 516,499

Step by Step Solution

1. Step 1: Write the proportion equation
   333,773 : 516,499 = 516,499 : x
2. Step 2: Convert to fraction form
   333,773/516,499 = 516,499/x
3. Step 3: Cross multiply
   333,773x = 516,499 × 516,499
4. Step 4: Simplify right side
   333,773x = 266,771,217,001
5. Step 5: Solve for x
   x = 266,771,217,001/333,773
6. Step 6: Final answer
   x = 799,259.43