Finding the Third Proportional to 82,869 and 127,538

Step by Step Solution

1. Step 1: Write the proportion equation
   82,869 : 127,538 = 127,538 : x
2. Step 2: Convert to fraction form
   82,869/127,538 = 127,538/x
3. Step 3: Cross multiply
   82,869x = 127,538 × 127,538
4. Step 4: Simplify right side
   82,869x = 16,265,941,444
5. Step 5: Solve for x
   x = 16,265,941,444/82,869
6. Step 6: Final answer
   x = 196,285.00