Finding the Third Proportional to 40,940 and 86,228

Step by Step Solution

1. Step 1: Write the proportion equation
   40,940 : 86,228 = 86,228 : x
2. Step 2: Convert to fraction form
   40,940/86,228 = 86,228/x
3. Step 3: Cross multiply
   40,940x = 86,228 × 86,228
4. Step 4: Simplify right side
   40,940x = 7,435,267,984
5. Step 5: Solve for x
   x = 7,435,267,984/40,940
6. Step 6: Final answer
   x = 181,613.78