Finding the Third Proportional to 82,696 and 127,814

Step by Step Solution

1. Step 1: Write the proportion equation
   82,696 : 127,814 = 127,814 : x
2. Step 2: Convert to fraction form
   82,696/127,814 = 127,814/x
3. Step 3: Cross multiply
   82,696x = 127,814 × 127,814
4. Step 4: Simplify right side
   82,696x = 16,336,418,596
5. Step 5: Solve for x
   x = 16,336,418,596/82,696
6. Step 6: Final answer
   x = 197,547.87