Finding the Third Proportional to 322,164 and 697,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,164 : 697,423.50 = 697,423.50 : x
2. Step 2: Convert to fraction form
   322,164/697,423.50 = 697,423.50/x
3. Step 3: Cross multiply
   322,164x = 697,423.50 × 697,423.50
4. Step 4: Simplify right side
   322,164x = 486,399,538,352.25
5. Step 5: Solve for x
   x = 486,399,538,352.25/322,164
6. Step 6: Final answer
   x = 1,509,788.61