Finding the Third Proportional to 384,280.50 and 613,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,280.50 : 613,897.50 = 613,897.50 : x
2. Step 2: Convert to fraction form
   384,280.50/613,897.50 = 613,897.50/x
3. Step 3: Cross multiply
   384,280.50x = 613,897.50 × 613,897.50
4. Step 4: Simplify right side
   384,280.50x = 376,870,140,506.25
5. Step 5: Solve for x
   x = 376,870,140,506.25/384,280.50
6. Step 6: Final answer
   x = 980,716.27