Finding the Third Proportional to 144,638 and 314,154

Step by Step Solution

1. Step 1: Write the proportion equation
   144,638 : 314,154 = 314,154 : x
2. Step 2: Convert to fraction form
   144,638/314,154 = 314,154/x
3. Step 3: Cross multiply
   144,638x = 314,154 × 314,154
4. Step 4: Simplify right side
   144,638x = 98,692,735,716
5. Step 5: Solve for x
   x = 98,692,735,716/144,638
6. Step 6: Final answer
   x = 682,343.06