Finding the Third Proportional to 85,592 and 206,184

Step by Step Solution

1. Step 1: Write the proportion equation
   85,592 : 206,184 = 206,184 : x
2. Step 2: Convert to fraction form
   85,592/206,184 = 206,184/x
3. Step 3: Cross multiply
   85,592x = 206,184 × 206,184
4. Step 4: Simplify right side
   85,592x = 42,511,841,856
5. Step 5: Solve for x
   x = 42,511,841,856/85,592
6. Step 6: Final answer
   x = 496,680.09