Finding the Third Proportional to 49,661 and 113,459

Step by Step Solution

1. Step 1: Write the proportion equation
   49,661 : 113,459 = 113,459 : x
2. Step 2: Convert to fraction form
   49,661/113,459 = 113,459/x
3. Step 3: Cross multiply
   49,661x = 113,459 × 113,459
4. Step 4: Simplify right side
   49,661x = 12,872,944,681
5. Step 5: Solve for x
   x = 12,872,944,681/49,661
6. Step 6: Final answer
   x = 259,216.38