Finding the Third Proportional to 321,006 and 759,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,006 : 759,142.50 = 759,142.50 : x
2. Step 2: Convert to fraction form
   321,006/759,142.50 = 759,142.50/x
3. Step 3: Cross multiply
   321,006x = 759,142.50 × 759,142.50
4. Step 4: Simplify right side
   321,006x = 576,297,335,306.25
5. Step 5: Solve for x
   x = 576,297,335,306.25/321,006
6. Step 6: Final answer
   x = 1,795,285.24