Finding the Third Proportional to 333,144.50 and 511,751

Step by Step Solution

1. Step 1: Write the proportion equation
   333,144.50 : 511,751 = 511,751 : x
2. Step 2: Convert to fraction form
   333,144.50/511,751 = 511,751/x
3. Step 3: Cross multiply
   333,144.50x = 511,751 × 511,751
4. Step 4: Simplify right side
   333,144.50x = 261,889,086,001
5. Step 5: Solve for x
   x = 261,889,086,001/333,144.50
6. Step 6: Final answer
   x = 786,112.59