Finding the Third Proportional to 176,868 and 381,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,868 : 381,745.50 = 381,745.50 : x
2. Step 2: Convert to fraction form
   176,868/381,745.50 = 381,745.50/x
3. Step 3: Cross multiply
   176,868x = 381,745.50 × 381,745.50
4. Step 4: Simplify right side
   176,868x = 145,729,626,770.25
5. Step 5: Solve for x
   x = 145,729,626,770.25/176,868
6. Step 6: Final answer
   x = 823,945.69