Finding the Third Proportional to 145,227 and 314,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,227 : 314,578.50 = 314,578.50 : x
2. Step 2: Convert to fraction form
   145,227/314,578.50 = 314,578.50/x
3. Step 3: Cross multiply
   145,227x = 314,578.50 × 314,578.50
4. Step 4: Simplify right side
   145,227x = 98,959,632,662.25
5. Step 5: Solve for x
   x = 98,959,632,662.25/145,227
6. Step 6: Final answer
   x = 681,413.46