Finding the Third Proportional to 394,020 and 576,978

Step by Step Solution

1. Step 1: Write the proportion equation
   394,020 : 576,978 = 576,978 : x
2. Step 2: Convert to fraction form
   394,020/576,978 = 576,978/x
3. Step 3: Cross multiply
   394,020x = 576,978 × 576,978
4. Step 4: Simplify right side
   394,020x = 332,903,612,484
5. Step 5: Solve for x
   x = 332,903,612,484/394,020
6. Step 6: Final answer
   x = 844,890.14