Finding the Third Proportional to 333,999 and 516,550.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,999 : 516,550.50 = 516,550.50 : x
2. Step 2: Convert to fraction form
   333,999/516,550.50 = 516,550.50/x
3. Step 3: Cross multiply
   333,999x = 516,550.50 × 516,550.50
4. Step 4: Simplify right side
   333,999x = 266,824,419,050.25
5. Step 5: Solve for x
   x = 266,824,419,050.25/333,999
6. Step 6: Final answer
   x = 798,877.90