Finding the Third Proportional to 144,008 and 314,218

Step by Step Solution

1. Step 1: Write the proportion equation
   144,008 : 314,218 = 314,218 : x
2. Step 2: Convert to fraction form
   144,008/314,218 = 314,218/x
3. Step 3: Cross multiply
   144,008x = 314,218 × 314,218
4. Step 4: Simplify right side
   144,008x = 98,732,951,524
5. Step 5: Solve for x
   x = 98,732,951,524/144,008
6. Step 6: Final answer
   x = 685,607.41