Finding the Third Proportional to 85,596 and 206,208

Step by Step Solution

1. Step 1: Write the proportion equation
   85,596 : 206,208 = 206,208 : x
2. Step 2: Convert to fraction form
   85,596/206,208 = 206,208/x
3. Step 3: Cross multiply
   85,596x = 206,208 × 206,208
4. Step 4: Simplify right side
   85,596x = 42,521,739,264
5. Step 5: Solve for x
   x = 42,521,739,264/85,596
6. Step 6: Final answer
   x = 496,772.50