Finding the Third Proportional to 51,831 and 109,196.63

Step by Step Solution

1. Step 1: Write the proportion equation
   51,831 : 109,196.63 = 109,196.63 : x
2. Step 2: Convert to fraction form
   51,831/109,196.63 = 109,196.63/x
3. Step 3: Cross multiply
   51,831x = 109,196.63 × 109,196.63
4. Step 4: Simplify right side
   51,831x = 11,923,902,911.39
5. Step 5: Solve for x
   x = 11,923,902,911.39/51,831
6. Step 6: Final answer
   x = 230,053.50