Finding the Third Proportional to 552,580 and 825,456

Step by Step Solution

1. Step 1: Write the proportion equation
   552,580 : 825,456 = 825,456 : x
2. Step 2: Convert to fraction form
   552,580/825,456 = 825,456/x
3. Step 3: Cross multiply
   552,580x = 825,456 × 825,456
4. Step 4: Simplify right side
   552,580x = 681,377,607,936
5. Step 5: Solve for x
   x = 681,377,607,936/552,580
6. Step 6: Final answer
   x = 1,233,084.09