Finding the Third Proportional to 208,198 and 447,978

Step by Step Solution

1. Step 1: Write the proportion equation
   208,198 : 447,978 = 447,978 : x
2. Step 2: Convert to fraction form
   208,198/447,978 = 447,978/x
3. Step 3: Cross multiply
   208,198x = 447,978 × 447,978
4. Step 4: Simplify right side
   208,198x = 200,684,288,484
5. Step 5: Solve for x
   x = 200,684,288,484/208,198
6. Step 6: Final answer
   x = 963,910.74