Finding the Third Proportional to 144,642 and 296,334

Step by Step Solution

1. Step 1: Write the proportion equation
   144,642 : 296,334 = 296,334 : x
2. Step 2: Convert to fraction form
   144,642/296,334 = 296,334/x
3. Step 3: Cross multiply
   144,642x = 296,334 × 296,334
4. Step 4: Simplify right side
   144,642x = 87,813,839,556
5. Step 5: Solve for x
   x = 87,813,839,556/144,642
6. Step 6: Final answer
   x = 607,111.62