Finding the Third Proportional to 186,978 and 405,504

Step by Step Solution

1. Step 1: Write the proportion equation
   186,978 : 405,504 = 405,504 : x
2. Step 2: Convert to fraction form
   186,978/405,504 = 405,504/x
3. Step 3: Cross multiply
   186,978x = 405,504 × 405,504
4. Step 4: Simplify right side
   186,978x = 164,433,494,016
5. Step 5: Solve for x
   x = 164,433,494,016/186,978
6. Step 6: Final answer
   x = 879,426.96