Finding the Third Proportional to 185,544 and 404,784

Step by Step Solution

1. Step 1: Write the proportion equation
   185,544 : 404,784 = 404,784 : x
2. Step 2: Convert to fraction form
   185,544/404,784 = 404,784/x
3. Step 3: Cross multiply
   185,544x = 404,784 × 404,784
4. Step 4: Simplify right side
   185,544x = 163,850,086,656
5. Step 5: Solve for x
   x = 163,850,086,656/185,544
6. Step 6: Final answer
   x = 883,079.41