Finding the Third Proportional to 51,786 and 113,049

Step by Step Solution

1. Step 1: Write the proportion equation
   51,786 : 113,049 = 113,049 : x
2. Step 2: Convert to fraction form
   51,786/113,049 = 113,049/x
3. Step 3: Cross multiply
   51,786x = 113,049 × 113,049
4. Step 4: Simplify right side
   51,786x = 12,780,076,401
5. Step 5: Solve for x
   x = 12,780,076,401/51,786
6. Step 6: Final answer
   x = 246,786.32