Finding the Third Proportional to 40,354 and 86,268

Step by Step Solution

1. Step 1: Write the proportion equation
   40,354 : 86,268 = 86,268 : x
2. Step 2: Convert to fraction form
   40,354/86,268 = 86,268/x
3. Step 3: Cross multiply
   40,354x = 86,268 × 86,268
4. Step 4: Simplify right side
   40,354x = 7,442,167,824
5. Step 5: Solve for x
   x = 7,442,167,824/40,354
6. Step 6: Final answer
   x = 184,422.06