Finding the Third Proportional to 322,137 and 697,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,137 : 697,369.50 = 697,369.50 : x
2. Step 2: Convert to fraction form
   322,137/697,369.50 = 697,369.50/x
3. Step 3: Cross multiply
   322,137x = 697,369.50 × 697,369.50
4. Step 4: Simplify right side
   322,137x = 486,324,219,530.25
5. Step 5: Solve for x
   x = 486,324,219,530.25/322,137
6. Step 6: Final answer
   x = 1,509,681.35