Finding the Third Proportional to 144,654 and 296,354

Step by Step Solution

1. Step 1: Write the proportion equation
   144,654 : 296,354 = 296,354 : x
2. Step 2: Convert to fraction form
   144,654/296,354 = 296,354/x
3. Step 3: Cross multiply
   144,654x = 296,354 × 296,354
4. Step 4: Simplify right side
   144,654x = 87,825,693,316
5. Step 5: Solve for x
   x = 87,825,693,316/144,654
6. Step 6: Final answer
   x = 607,143.21