Finding the Third Proportional to 82,116 and 127,398

Step by Step Solution

1. Step 1: Write the proportion equation
   82,116 : 127,398 = 127,398 : x
2. Step 2: Convert to fraction form
   82,116/127,398 = 127,398/x
3. Step 3: Cross multiply
   82,116x = 127,398 × 127,398
4. Step 4: Simplify right side
   82,116x = 16,230,250,404
5. Step 5: Solve for x
   x = 16,230,250,404/82,116
6. Step 6: Final answer
   x = 197,650.28