Finding the Third Proportional to 333,770 and 516,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,770 : 516,493.50 = 516,493.50 : x
2. Step 2: Convert to fraction form
   333,770/516,493.50 = 516,493.50/x
3. Step 3: Cross multiply
   333,770x = 516,493.50 × 516,493.50
4. Step 4: Simplify right side
   333,770x = 266,765,535,542.25
5. Step 5: Solve for x
   x = 266,765,535,542.25/333,770
6. Step 6: Final answer
   x = 799,249.59