Finding the Third Proportional to 144,653 and 296,353

Step by Step Solution

1. Step 1: Write the proportion equation
   144,653 : 296,353 = 296,353 : x
2. Step 2: Convert to fraction form
   144,653/296,353 = 296,353/x
3. Step 3: Cross multiply
   144,653x = 296,353 × 296,353
4. Step 4: Simplify right side
   144,653x = 87,825,100,609
5. Step 5: Solve for x
   x = 87,825,100,609/144,653
6. Step 6: Final answer
   x = 607,143.31