Finding the Third Proportional to 274,493 and 583,978

Step by Step Solution

1. Step 1: Write the proportion equation
   274,493 : 583,978 = 583,978 : x
2. Step 2: Convert to fraction form
   274,493/583,978 = 583,978/x
3. Step 3: Cross multiply
   274,493x = 583,978 × 583,978
4. Step 4: Simplify right side
   274,493x = 341,030,304,484
5. Step 5: Solve for x
   x = 341,030,304,484/274,493
6. Step 6: Final answer
   x = 1,242,400.73