Finding the Third Proportional to 335,097 and 496,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,097 : 496,084.50 = 496,084.50 : x
2. Step 2: Convert to fraction form
   335,097/496,084.50 = 496,084.50/x
3. Step 3: Cross multiply
   335,097x = 496,084.50 × 496,084.50
4. Step 4: Simplify right side
   335,097x = 246,099,831,140.25
5. Step 5: Solve for x
   x = 246,099,831,140.25/335,097
6. Step 6: Final answer
   x = 734,413.71