Finding the Third Proportional to 85,536 and 205,805.81

Step by Step Solution

1. Step 1: Write the proportion equation
   85,536 : 205,805.81 = 205,805.81 : x
2. Step 2: Convert to fraction form
   85,536/205,805.81 = 205,805.81/x
3. Step 3: Cross multiply
   85,536x = 205,805.81 × 205,805.81
4. Step 4: Simplify right side
   85,536x = 42,356,032,458.79
5. Step 5: Solve for x
   x = 42,356,032,458.79/85,536
6. Step 6: Final answer
   x = 495,183.69