Finding the Third Proportional to 185,596 and 404,648

Step by Step Solution

1. Step 1: Write the proportion equation
   185,596 : 404,648 = 404,648 : x
2. Step 2: Convert to fraction form
   185,596/404,648 = 404,648/x
3. Step 3: Cross multiply
   185,596x = 404,648 × 404,648
4. Step 4: Simplify right side
   185,596x = 163,740,003,904
5. Step 5: Solve for x
   x = 163,740,003,904/185,596
6. Step 6: Final answer
   x = 882,238.86