Finding the Third Proportional to 557,452 and 823,055.75

Step by Step Solution

1. Step 1: Write the proportion equation
   557,452 : 823,055.75 = 823,055.75 : x
2. Step 2: Convert to fraction form
   557,452/823,055.75 = 823,055.75/x
3. Step 3: Cross multiply
   557,452x = 823,055.75 × 823,055.75
4. Step 4: Simplify right side
   557,452x = 677,420,767,608.06
5. Step 5: Solve for x
   x = 677,420,767,608.06/557,452
6. Step 6: Final answer
   x = 1,215,209.14