Finding the Third Proportional to 300,150 and 422,145

Step by Step Solution

1. Step 1: Write the proportion equation
   300,150 : 422,145 = 422,145 : x
2. Step 2: Convert to fraction form
   300,150/422,145 = 422,145/x
3. Step 3: Cross multiply
   300,150x = 422,145 × 422,145
4. Step 4: Simplify right side
   300,150x = 178,206,401,025
5. Step 5: Solve for x
   x = 178,206,401,025/300,150
6. Step 6: Final answer
   x = 593,724.47