Finding the Third Proportional to 51,982 and 113,084

Step by Step Solution

1. Step 1: Write the proportion equation
   51,982 : 113,084 = 113,084 : x
2. Step 2: Convert to fraction form
   51,982/113,084 = 113,084/x
3. Step 3: Cross multiply
   51,982x = 113,084 × 113,084
4. Step 4: Simplify right side
   51,982x = 12,787,991,056
5. Step 5: Solve for x
   x = 12,787,991,056/51,982
6. Step 6: Final answer
   x = 246,008.06