Finding the Third Proportional to 144,620 and 296,288

Step by Step Solution

1. Step 1: Write the proportion equation
   144,620 : 296,288 = 296,288 : x
2. Step 2: Convert to fraction form
   144,620/296,288 = 296,288/x
3. Step 3: Cross multiply
   144,620x = 296,288 × 296,288
4. Step 4: Simplify right side
   144,620x = 87,786,578,944
5. Step 5: Solve for x
   x = 87,786,578,944/144,620
6. Step 6: Final answer
   x = 607,015.48