Finding the Third Proportional to 189,942 and 405,308

Step by Step Solution

1. Step 1: Write the proportion equation
   189,942 : 405,308 = 405,308 : x
2. Step 2: Convert to fraction form
   189,942/405,308 = 405,308/x
3. Step 3: Cross multiply
   189,942x = 405,308 × 405,308
4. Step 4: Simplify right side
   189,942x = 164,274,574,864
5. Step 5: Solve for x
   x = 164,274,574,864/189,942
6. Step 6: Final answer
   x = 864,867.04