Finding the Third Proportional to 333,891 and 511,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,891 : 511,879.50 = 511,879.50 : x
2. Step 2: Convert to fraction form
   333,891/511,879.50 = 511,879.50/x
3. Step 3: Cross multiply
   333,891x = 511,879.50 × 511,879.50
4. Step 4: Simplify right side
   333,891x = 262,020,622,520.25
5. Step 5: Solve for x
   x = 262,020,622,520.25/333,891
6. Step 6: Final answer
   x = 784,748.98