Finding the Third Proportional to 284,914 and 422,978

Step by Step Solution

1. Step 1: Write the proportion equation
   284,914 : 422,978 = 422,978 : x
2. Step 2: Convert to fraction form
   284,914/422,978 = 422,978/x
3. Step 3: Cross multiply
   284,914x = 422,978 × 422,978
4. Step 4: Simplify right side
   284,914x = 178,910,388,484
5. Step 5: Solve for x
   x = 178,910,388,484/284,914
6. Step 6: Final answer
   x = 627,945.23