Finding the Third Proportional to 85,540 and 206,074

Step by Step Solution

1. Step 1: Write the proportion equation
   85,540 : 206,074 = 206,074 : x
2. Step 2: Convert to fraction form
   85,540/206,074 = 206,074/x
3. Step 3: Cross multiply
   85,540x = 206,074 × 206,074
4. Step 4: Simplify right side
   85,540x = 42,466,493,476
5. Step 5: Solve for x
   x = 42,466,493,476/85,540
6. Step 6: Final answer
   x = 496,451.88