Finding the Third Proportional to 53,471 and 108,238

Step by Step Solution

1. Step 1: Write the proportion equation
   53,471 : 108,238 = 108,238 : x
2. Step 2: Convert to fraction form
   53,471/108,238 = 108,238/x
3. Step 3: Cross multiply
   53,471x = 108,238 × 108,238
4. Step 4: Simplify right side
   53,471x = 11,715,464,644
5. Step 5: Solve for x
   x = 11,715,464,644/53,471
6. Step 6: Final answer
   x = 219,099.41