Finding the Third Proportional to 85,544 and 206,084

Step by Step Solution

1. Step 1: Write the proportion equation
   85,544 : 206,084 = 206,084 : x
2. Step 2: Convert to fraction form
   85,544/206,084 = 206,084/x
3. Step 3: Cross multiply
   85,544x = 206,084 × 206,084
4. Step 4: Simplify right side
   85,544x = 42,470,615,056
5. Step 5: Solve for x
   x = 42,470,615,056/85,544
6. Step 6: Final answer
   x = 496,476.84