Finding the Third Proportional to 144,649 and 296,346

Step by Step Solution

1. Step 1: Write the proportion equation
   144,649 : 296,346 = 296,346 : x
2. Step 2: Convert to fraction form
   144,649/296,346 = 296,346/x
3. Step 3: Cross multiply
   144,649x = 296,346 × 296,346
4. Step 4: Simplify right side
   144,649x = 87,820,951,716
5. Step 5: Solve for x
   x = 87,820,951,716/144,649
6. Step 6: Final answer
   x = 607,131.41