Finding the Third Proportional to 450,198 and 696,870

Step by Step Solution

1. Step 1: Write the proportion equation
   450,198 : 696,870 = 696,870 : x
2. Step 2: Convert to fraction form
   450,198/696,870 = 696,870/x
3. Step 3: Cross multiply
   450,198x = 696,870 × 696,870
4. Step 4: Simplify right side
   450,198x = 485,627,796,900
5. Step 5: Solve for x
   x = 485,627,796,900/450,198
6. Step 6: Final answer
   x = 1,078,698.25