Finding the Third Proportional to 511,498.50 and 744,759

Step by Step Solution

1. Step 1: Write the proportion equation
   511,498.50 : 744,759 = 744,759 : x
2. Step 2: Convert to fraction form
   511,498.50/744,759 = 744,759/x
3. Step 3: Cross multiply
   511,498.50x = 744,759 × 744,759
4. Step 4: Simplify right side
   511,498.50x = 554,665,968,081
5. Step 5: Solve for x
   x = 554,665,968,081/511,498.50
6. Step 6: Final answer
   x = 1,084,394.12