Finding the Third Proportional to 144,214 and 308,356

Step by Step Solution

1. Step 1: Write the proportion equation
   144,214 : 308,356 = 308,356 : x
2. Step 2: Convert to fraction form
   144,214/308,356 = 308,356/x
3. Step 3: Cross multiply
   144,214x = 308,356 × 308,356
4. Step 4: Simplify right side
   144,214x = 95,083,422,736
5. Step 5: Solve for x
   x = 95,083,422,736/144,214
6. Step 6: Final answer
   x = 659,321.72