Finding the Third Proportional to 49,256 and 105,514

Step by Step Solution

1. Step 1: Write the proportion equation
   49,256 : 105,514 = 105,514 : x
2. Step 2: Convert to fraction form
   49,256/105,514 = 105,514/x
3. Step 3: Cross multiply
   49,256x = 105,514 × 105,514
4. Step 4: Simplify right side
   49,256x = 11,133,204,196
5. Step 5: Solve for x
   x = 11,133,204,196/49,256
6. Step 6: Final answer
   x = 226,027.37