Finding the Third Proportional to 185,365 and 404,709

Step by Step Solution

1. Step 1: Write the proportion equation
   185,365 : 404,709 = 404,709 : x
2. Step 2: Convert to fraction form
   185,365/404,709 = 404,709/x
3. Step 3: Cross multiply
   185,365x = 404,709 × 404,709
4. Step 4: Simplify right side
   185,365x = 163,789,374,681
5. Step 5: Solve for x
   x = 163,789,374,681/185,365
6. Step 6: Final answer
   x = 883,604.64