Finding the Third Proportional to 51,981 and 113,082

Step by Step Solution

1. Step 1: Write the proportion equation
   51,981 : 113,082 = 113,082 : x
2. Step 2: Convert to fraction form
   51,981/113,082 = 113,082/x
3. Step 3: Cross multiply
   51,981x = 113,082 × 113,082
4. Step 4: Simplify right side
   51,981x = 12,787,538,724
5. Step 5: Solve for x
   x = 12,787,538,724/51,981
6. Step 6: Final answer
   x = 246,004.09