Finding the Third Proportional to 82,096 and 127,368

Step by Step Solution

1. Step 1: Write the proportion equation
   82,096 : 127,368 = 127,368 : x
2. Step 2: Convert to fraction form
   82,096/127,368 = 127,368/x
3. Step 3: Cross multiply
   82,096x = 127,368 × 127,368
4. Step 4: Simplify right side
   82,096x = 16,222,607,424
5. Step 5: Solve for x
   x = 16,222,607,424/82,096
6. Step 6: Final answer
   x = 197,605.33