Finding the Third Proportional to 144,796 and 314,520

Step by Step Solution

1. Step 1: Write the proportion equation
   144,796 : 314,520 = 314,520 : x
2. Step 2: Convert to fraction form
   144,796/314,520 = 314,520/x
3. Step 3: Cross multiply
   144,796x = 314,520 × 314,520
4. Step 4: Simplify right side
   144,796x = 98,922,830,400
5. Step 5: Solve for x
   x = 98,922,830,400/144,796
6. Step 6: Final answer
   x = 683,187.59