Finding the Third Proportional to 296,147 and 422,068

Step by Step Solution

1. Step 1: Write the proportion equation
   296,147 : 422,068 = 422,068 : x
2. Step 2: Convert to fraction form
   296,147/422,068 = 422,068/x
3. Step 3: Cross multiply
   296,147x = 422,068 × 422,068
4. Step 4: Simplify right side
   296,147x = 178,141,396,624
5. Step 5: Solve for x
   x = 178,141,396,624/296,147
6. Step 6: Final answer
   x = 601,530.31