Finding the Third Proportional to 51,843 and 111,057

Step by Step Solution

1. Step 1: Write the proportion equation
   51,843 : 111,057 = 111,057 : x
2. Step 2: Convert to fraction form
   51,843/111,057 = 111,057/x
3. Step 3: Cross multiply
   51,843x = 111,057 × 111,057
4. Step 4: Simplify right side
   51,843x = 12,333,657,249
5. Step 5: Solve for x
   x = 12,333,657,249/51,843
6. Step 6: Final answer
   x = 237,904.00