Finding the Third Proportional to 424,469.50 and 642,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   424,469.50 : 642,171.50 = 642,171.50 : x
2. Step 2: Convert to fraction form
   424,469.50/642,171.50 = 642,171.50/x
3. Step 3: Cross multiply
   424,469.50x = 642,171.50 × 642,171.50
4. Step 4: Simplify right side
   424,469.50x = 412,384,235,412.25
5. Step 5: Solve for x
   x = 412,384,235,412.25/424,469.50
6. Step 6: Final answer
   x = 971,528.54