Finding the Third Proportional to 40,155 and 86,418

Step by Step Solution

1. Step 1: Write the proportion equation
   40,155 : 86,418 = 86,418 : x
2. Step 2: Convert to fraction form
   40,155/86,418 = 86,418/x
3. Step 3: Cross multiply
   40,155x = 86,418 × 86,418
4. Step 4: Simplify right side
   40,155x = 7,468,070,724
5. Step 5: Solve for x
   x = 7,468,070,724/40,155
6. Step 6: Final answer
   x = 185,981.09