Finding the Third Proportional to 82,678 and 127,786

Step by Step Solution

1. Step 1: Write the proportion equation
   82,678 : 127,786 = 127,786 : x
2. Step 2: Convert to fraction form
   82,678/127,786 = 127,786/x
3. Step 3: Cross multiply
   82,678x = 127,786 × 127,786
4. Step 4: Simplify right side
   82,678x = 16,329,261,796
5. Step 5: Solve for x
   x = 16,329,261,796/82,678
6. Step 6: Final answer
   x = 197,504.32