Finding the Third Proportional to 49,664 and 101,514

Step by Step Solution

1. Step 1: Write the proportion equation
   49,664 : 101,514 = 101,514 : x
2. Step 2: Convert to fraction form
   49,664/101,514 = 101,514/x
3. Step 3: Cross multiply
   49,664x = 101,514 × 101,514
4. Step 4: Simplify right side
   49,664x = 10,305,092,196
5. Step 5: Solve for x
   x = 10,305,092,196/49,664
6. Step 6: Final answer
   x = 207,496.22