Finding the Third Proportional to 85,491 and 185,471

Step by Step Solution

1. Step 1: Write the proportion equation
   85,491 : 185,471 = 185,471 : x
2. Step 2: Convert to fraction form
   85,491/185,471 = 185,471/x
3. Step 3: Cross multiply
   85,491x = 185,471 × 185,471
4. Step 4: Simplify right side
   85,491x = 34,399,491,841
5. Step 5: Solve for x
   x = 34,399,491,841/85,491
6. Step 6: Final answer
   x = 402,375.59