Finding the Third Proportional to 51,186 and 111,114

Step by Step Solution

1. Step 1: Write the proportion equation
   51,186 : 111,114 = 111,114 : x
2. Step 2: Convert to fraction form
   51,186/111,114 = 111,114/x
3. Step 3: Cross multiply
   51,186x = 111,114 × 111,114
4. Step 4: Simplify right side
   51,186x = 12,346,320,996
5. Step 5: Solve for x
   x = 12,346,320,996/51,186
6. Step 6: Final answer
   x = 241,205.04