Finding the Third Proportional to 51,640 and 113,114

Step by Step Solution

1. Step 1: Write the proportion equation
   51,640 : 113,114 = 113,114 : x
2. Step 2: Convert to fraction form
   51,640/113,114 = 113,114/x
3. Step 3: Cross multiply
   51,640x = 113,114 × 113,114
4. Step 4: Simplify right side
   51,640x = 12,794,776,996
5. Step 5: Solve for x
   x = 12,794,776,996/51,640
6. Step 6: Final answer
   x = 247,768.73