Finding the Third Proportional to 85,540 and 205,816

Step by Step Solution

1. Step 1: Write the proportion equation
   85,540 : 205,816 = 205,816 : x
2. Step 2: Convert to fraction form
   85,540/205,816 = 205,816/x
3. Step 3: Cross multiply
   85,540x = 205,816 × 205,816
4. Step 4: Simplify right side
   85,540x = 42,360,225,856
5. Step 5: Solve for x
   x = 42,360,225,856/85,540
6. Step 6: Final answer
   x = 495,209.56