Finding the Third Proportional to 105,986 and 224,608

Step by Step Solution

1. Step 1: Write the proportion equation
   105,986 : 224,608 = 224,608 : x
2. Step 2: Convert to fraction form
   105,986/224,608 = 224,608/x
3. Step 3: Cross multiply
   105,986x = 224,608 × 224,608
4. Step 4: Simplify right side
   105,986x = 50,448,753,664
5. Step 5: Solve for x
   x = 50,448,753,664/105,986
6. Step 6: Final answer
   x = 475,994.51