Finding the Third Proportional to 38,866 and 83,678

Step by Step Solution

1. Step 1: Write the proportion equation
   38,866 : 83,678 = 83,678 : x
2. Step 2: Convert to fraction form
   38,866/83,678 = 83,678/x
3. Step 3: Cross multiply
   38,866x = 83,678 × 83,678
4. Step 4: Simplify right side
   38,866x = 7,002,007,684
5. Step 5: Solve for x
   x = 7,002,007,684/38,866
6. Step 6: Final answer
   x = 180,157.66