Finding the Third Proportional to 381,216 and 801,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,216 : 801,745.50 = 801,745.50 : x
2. Step 2: Convert to fraction form
   381,216/801,745.50 = 801,745.50/x
3. Step 3: Cross multiply
   381,216x = 801,745.50 × 801,745.50
4. Step 4: Simplify right side
   381,216x = 642,795,846,770.25
5. Step 5: Solve for x
   x = 642,795,846,770.25/381,216
6. Step 6: Final answer
   x = 1,686,172.27