Finding the Third Proportional to 189,436 and 282,858

Step by Step Solution

1. Step 1: Write the proportion equation
   189,436 : 282,858 = 282,858 : x
2. Step 2: Convert to fraction form
   189,436/282,858 = 282,858/x
3. Step 3: Cross multiply
   189,436x = 282,858 × 282,858
4. Step 4: Simplify right side
   189,436x = 80,008,648,164
5. Step 5: Solve for x
   x = 80,008,648,164/189,436
6. Step 6: Final answer
   x = 422,351.87