Finding the Third Proportional to 40,360 and 86,096

Step by Step Solution

1. Step 1: Write the proportion equation
   40,360 : 86,096 = 86,096 : x
2. Step 2: Convert to fraction form
   40,360/86,096 = 86,096/x
3. Step 3: Cross multiply
   40,360x = 86,096 × 86,096
4. Step 4: Simplify right side
   40,360x = 7,412,521,216
5. Step 5: Solve for x
   x = 7,412,521,216/40,360
6. Step 6: Final answer
   x = 183,660.09