Finding the Third Proportional to 153,576 and 319,413.38

Step by Step Solution

1. Step 1: Write the proportion equation
   153,576 : 319,413.38 = 319,413.38 : x
2. Step 2: Convert to fraction form
   153,576/319,413.38 = 319,413.38/x
3. Step 3: Cross multiply
   153,576x = 319,413.38 × 319,413.38
4. Step 4: Simplify right side
   153,576x = 102,024,904,128.89
5. Step 5: Solve for x
   x = 102,024,904,128.89/153,576
6. Step 6: Final answer
   x = 664,328.44