Finding the Third Proportional to 189,576 and 438,876

Step by Step Solution

1. Step 1: Write the proportion equation
   189,576 : 438,876 = 438,876 : x
2. Step 2: Convert to fraction form
   189,576/438,876 = 438,876/x
3. Step 3: Cross multiply
   189,576x = 438,876 × 438,876
4. Step 4: Simplify right side
   189,576x = 192,612,143,376
5. Step 5: Solve for x
   x = 192,612,143,376/189,576
6. Step 6: Final answer
   x = 1,016,015.44