Finding the Third Proportional to 208,082 and 315,144

Step by Step Solution

1. Step 1: Write the proportion equation
   208,082 : 315,144 = 315,144 : x
2. Step 2: Convert to fraction form
   208,082/315,144 = 315,144/x
3. Step 3: Cross multiply
   208,082x = 315,144 × 315,144
4. Step 4: Simplify right side
   208,082x = 99,315,740,736
5. Step 5: Solve for x
   x = 99,315,740,736/208,082
6. Step 6: Final answer
   x = 477,291.36