Finding the Third Proportional to 40,678 and 83,866

Step by Step Solution

1. Step 1: Write the proportion equation
   40,678 : 83,866 = 83,866 : x
2. Step 2: Convert to fraction form
   40,678/83,866 = 83,866/x
3. Step 3: Cross multiply
   40,678x = 83,866 × 83,866
4. Step 4: Simplify right side
   40,678x = 7,033,505,956
5. Step 5: Solve for x
   x = 7,033,505,956/40,678
6. Step 6: Final answer
   x = 172,906.88