Finding the Third Proportional to 144,644 and 296,338

Step by Step Solution

1. Step 1: Write the proportion equation
   144,644 : 296,338 = 296,338 : x
2. Step 2: Convert to fraction form
   144,644/296,338 = 296,338/x
3. Step 3: Cross multiply
   144,644x = 296,338 × 296,338
4. Step 4: Simplify right side
   144,644x = 87,816,210,244
5. Step 5: Solve for x
   x = 87,816,210,244/144,644
6. Step 6: Final answer
   x = 607,119.62