Finding the Third Proportional to 83,413.55 and 196,669.27

Step by Step Solution

1. Step 1: Write the proportion equation
   83,413.55 : 196,669.27 = 196,669.27 : x
2. Step 2: Convert to fraction form
   83,413.55/196,669.27 = 196,669.27/x
3. Step 3: Cross multiply
   83,413.55x = 196,669.27 × 196,669.27
4. Step 4: Simplify right side
   83,413.55x = 38,678,800,041.48
5. Step 5: Solve for x
   x = 38,678,800,041.48/83,413.55
6. Step 6: Final answer
   x = 463,699.26