Finding the Third Proportional to 51,696 and 111,645

Step by Step Solution

1. Step 1: Write the proportion equation
   51,696 : 111,645 = 111,645 : x
2. Step 2: Convert to fraction form
   51,696/111,645 = 111,645/x
3. Step 3: Cross multiply
   51,696x = 111,645 × 111,645
4. Step 4: Simplify right side
   51,696x = 12,464,606,025
5. Step 5: Solve for x
   x = 12,464,606,025/51,696
6. Step 6: Final answer
   x = 241,113.55