Finding the Third Proportional to 82,678 and 123,780

Step by Step Solution

1. Step 1: Write the proportion equation
   82,678 : 123,780 = 123,780 : x
2. Step 2: Convert to fraction form
   82,678/123,780 = 123,780/x
3. Step 3: Cross multiply
   82,678x = 123,780 × 123,780
4. Step 4: Simplify right side
   82,678x = 15,321,488,400
5. Step 5: Solve for x
   x = 15,321,488,400/82,678
6. Step 6: Final answer
   x = 185,315.18