Finding the Third Proportional to 85,049 and 185,404

Step by Step Solution

1. Step 1: Write the proportion equation
   85,049 : 185,404 = 185,404 : x
2. Step 2: Convert to fraction form
   85,049/185,404 = 185,404/x
3. Step 3: Cross multiply
   85,049x = 185,404 × 185,404
4. Step 4: Simplify right side
   85,049x = 34,374,643,216
5. Step 5: Solve for x
   x = 34,374,643,216/85,049
6. Step 6: Final answer
   x = 404,174.57