Finding the Third Proportional to 86,298 and 185,404

Step by Step Solution

1. Step 1: Write the proportion equation
   86,298 : 185,404 = 185,404 : x
2. Step 2: Convert to fraction form
   86,298/185,404 = 185,404/x
3. Step 3: Cross multiply
   86,298x = 185,404 × 185,404
4. Step 4: Simplify right side
   86,298x = 34,374,643,216
5. Step 5: Solve for x
   x = 34,374,643,216/86,298
6. Step 6: Final answer
   x = 398,324.91