Finding the Third Proportional to 40,909 and 86,192

Step by Step Solution

1. Step 1: Write the proportion equation
   40,909 : 86,192 = 86,192 : x
2. Step 2: Convert to fraction form
   40,909/86,192 = 86,192/x
3. Step 3: Cross multiply
   40,909x = 86,192 × 86,192
4. Step 4: Simplify right side
   40,909x = 7,429,060,864
5. Step 5: Solve for x
   x = 7,429,060,864/40,909
6. Step 6: Final answer
   x = 181,599.67