Finding the Third Proportional to 51,566 and 113,096

Step by Step Solution

1. Step 1: Write the proportion equation
   51,566 : 113,096 = 113,096 : x
2. Step 2: Convert to fraction form
   51,566/113,096 = 113,096/x
3. Step 3: Cross multiply
   51,566x = 113,096 × 113,096
4. Step 4: Simplify right side
   51,566x = 12,790,705,216
5. Step 5: Solve for x
   x = 12,790,705,216/51,566
6. Step 6: Final answer
   x = 248,045.32