Finding the Third Proportional to 144,002 and 314,208

Step by Step Solution

1. Step 1: Write the proportion equation
   144,002 : 314,208 = 314,208 : x
2. Step 2: Convert to fraction form
   144,002/314,208 = 314,208/x
3. Step 3: Cross multiply
   144,002x = 314,208 × 314,208
4. Step 4: Simplify right side
   144,002x = 98,726,667,264
5. Step 5: Solve for x
   x = 98,726,667,264/144,002
6. Step 6: Final answer
   x = 685,592.33