Finding the Third Proportional to 179,868 and 259,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,868 : 259,855.50 = 259,855.50 : x
2. Step 2: Convert to fraction form
   179,868/259,855.50 = 259,855.50/x
3. Step 3: Cross multiply
   179,868x = 259,855.50 × 259,855.50
4. Step 4: Simplify right side
   179,868x = 67,524,880,880.25
5. Step 5: Solve for x
   x = 67,524,880,880.25/179,868
6. Step 6: Final answer
   x = 375,413.53