Finding the Third Proportional to 82,838 and 127,514

Step by Step Solution

1. Step 1: Write the proportion equation
   82,838 : 127,514 = 127,514 : x
2. Step 2: Convert to fraction form
   82,838/127,514 = 127,514/x
3. Step 3: Cross multiply
   82,838x = 127,514 × 127,514
4. Step 4: Simplify right side
   82,838x = 16,259,820,196
5. Step 5: Solve for x
   x = 16,259,820,196/82,838
6. Step 6: Final answer
   x = 196,284.56