Finding the Third Proportional to 105,951 and 224,538

Step by Step Solution

1. Step 1: Write the proportion equation
   105,951 : 224,538 = 224,538 : x
2. Step 2: Convert to fraction form
   105,951/224,538 = 224,538/x
3. Step 3: Cross multiply
   105,951x = 224,538 × 224,538
4. Step 4: Simplify right side
   105,951x = 50,417,313,444
5. Step 5: Solve for x
   x = 50,417,313,444/105,951
6. Step 6: Final answer
   x = 475,855.00