Finding the Third Proportional to 40,892 and 83,504

Step by Step Solution

1. Step 1: Write the proportion equation
   40,892 : 83,504 = 83,504 : x
2. Step 2: Convert to fraction form
   40,892/83,504 = 83,504/x
3. Step 3: Cross multiply
   40,892x = 83,504 × 83,504
4. Step 4: Simplify right side
   40,892x = 6,972,918,016
5. Step 5: Solve for x
   x = 6,972,918,016/40,892
6. Step 6: Final answer
   x = 170,520.35