Finding the Third Proportional to 40,177 and 86,834

Step by Step Solution

1. Step 1: Write the proportion equation
   40,177 : 86,834 = 86,834 : x
2. Step 2: Convert to fraction form
   40,177/86,834 = 86,834/x
3. Step 3: Cross multiply
   40,177x = 86,834 × 86,834
4. Step 4: Simplify right side
   40,177x = 7,540,143,556
5. Step 5: Solve for x
   x = 7,540,143,556/40,177
6. Step 6: Final answer
   x = 187,673.14