Finding the Third Proportional to 185,544 and 404,208

Step by Step Solution

1. Step 1: Write the proportion equation
   185,544 : 404,208 = 404,208 : x
2. Step 2: Convert to fraction form
   185,544/404,208 = 404,208/x
3. Step 3: Cross multiply
   185,544x = 404,208 × 404,208
4. Step 4: Simplify right side
   185,544x = 163,384,107,264
5. Step 5: Solve for x
   x = 163,384,107,264/185,544
6. Step 6: Final answer
   x = 880,567.99