Finding the Third Proportional to 419,823 and 552,136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   419,823 : 552,136.50 = 552,136.50 : x
2. Step 2: Convert to fraction form
   419,823/552,136.50 = 552,136.50/x
3. Step 3: Cross multiply
   419,823x = 552,136.50 × 552,136.50
4. Step 4: Simplify right side
   419,823x = 304,854,714,632.25
5. Step 5: Solve for x
   x = 304,854,714,632.25/419,823
6. Step 6: Final answer
   x = 726,150.58