Finding the Third Proportional to 177,495 and 389,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,495 : 389,413.50 = 389,413.50 : x
2. Step 2: Convert to fraction form
   177,495/389,413.50 = 389,413.50/x
3. Step 3: Cross multiply
   177,495x = 389,413.50 × 389,413.50
4. Step 4: Simplify right side
   177,495x = 151,642,873,982.25
5. Step 5: Solve for x
   x = 151,642,873,982.25/177,495
6. Step 6: Final answer
   x = 854,350.12