Finding the Third Proportional to 144,336 and 334,144

Step by Step Solution

1. Step 1: Write the proportion equation
   144,336 : 334,144 = 334,144 : x
2. Step 2: Convert to fraction form
   144,336/334,144 = 334,144/x
3. Step 3: Cross multiply
   144,336x = 334,144 × 334,144
4. Step 4: Simplify right side
   144,336x = 111,652,212,736
5. Step 5: Solve for x
   x = 111,652,212,736/144,336
6. Step 6: Final answer
   x = 773,557.62