Finding the Third Proportional to 189,384 and 408,144

Step by Step Solution

1. Step 1: Write the proportion equation
   189,384 : 408,144 = 408,144 : x
2. Step 2: Convert to fraction form
   189,384/408,144 = 408,144/x
3. Step 3: Cross multiply
   189,384x = 408,144 × 408,144
4. Step 4: Simplify right side
   189,384x = 166,581,524,736
5. Step 5: Solve for x
   x = 166,581,524,736/189,384
6. Step 6: Final answer
   x = 879,596.61