Finding the Third Proportional to 185,009 and 404,258

Step by Step Solution

1. Step 1: Write the proportion equation
   185,009 : 404,258 = 404,258 : x
2. Step 2: Convert to fraction form
   185,009/404,258 = 404,258/x
3. Step 3: Cross multiply
   185,009x = 404,258 × 404,258
4. Step 4: Simplify right side
   185,009x = 163,424,530,564
5. Step 5: Solve for x
   x = 163,424,530,564/185,009
6. Step 6: Final answer
   x = 883,332.87