Finding the Third Proportional to 51,969 and 113,049

Step by Step Solution

1. Step 1: Write the proportion equation
   51,969 : 113,049 = 113,049 : x
2. Step 2: Convert to fraction form
   51,969/113,049 = 113,049/x
3. Step 3: Cross multiply
   51,969x = 113,049 × 113,049
4. Step 4: Simplify right side
   51,969x = 12,780,076,401
5. Step 5: Solve for x
   x = 12,780,076,401/51,969
6. Step 6: Final answer
   x = 245,917.30