Finding the Third Proportional to 144,642 and 314,162

Step by Step Solution

1. Step 1: Write the proportion equation
   144,642 : 314,162 = 314,162 : x
2. Step 2: Convert to fraction form
   144,642/314,162 = 314,162/x
3. Step 3: Cross multiply
   144,642x = 314,162 × 314,162
4. Step 4: Simplify right side
   144,642x = 98,697,762,244
5. Step 5: Solve for x
   x = 98,697,762,244/144,642
6. Step 6: Final answer
   x = 682,358.94