Finding the Third Proportional to 51,601 and 113,195

Step by Step Solution

1. Step 1: Write the proportion equation
   51,601 : 113,195 = 113,195 : x
2. Step 2: Convert to fraction form
   51,601/113,195 = 113,195/x
3. Step 3: Cross multiply
   51,601x = 113,195 × 113,195
4. Step 4: Simplify right side
   51,601x = 12,813,108,025
5. Step 5: Solve for x
   x = 12,813,108,025/51,601
6. Step 6: Final answer
   x = 248,311.23