Finding the Third Proportional to 511,299 and 757,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,299 : 757,105.50 = 757,105.50 : x
2. Step 2: Convert to fraction form
   511,299/757,105.50 = 757,105.50/x
3. Step 3: Cross multiply
   511,299x = 757,105.50 × 757,105.50
4. Step 4: Simplify right side
   511,299x = 573,208,738,130.25
5. Step 5: Solve for x
   x = 573,208,738,130.25/511,299
6. Step 6: Final answer
   x = 1,121,083.24