Finding the Third Proportional to 395,782.50 and 613,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   395,782.50 : 613,222.50 = 613,222.50 : x
2. Step 2: Convert to fraction form
   395,782.50/613,222.50 = 613,222.50/x
3. Step 3: Cross multiply
   395,782.50x = 613,222.50 × 613,222.50
4. Step 4: Simplify right side
   395,782.50x = 376,041,834,506.25
5. Step 5: Solve for x
   x = 376,041,834,506.25/395,782.50
6. Step 6: Final answer
   x = 950,122.44