Finding the Third Proportional to 380,866.50 and 814,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,866.50 : 814,216.50 = 814,216.50 : x
2. Step 2: Convert to fraction form
   380,866.50/814,216.50 = 814,216.50/x
3. Step 3: Cross multiply
   380,866.50x = 814,216.50 × 814,216.50
4. Step 4: Simplify right side
   380,866.50x = 662,948,508,872.25
5. Step 5: Solve for x
   x = 662,948,508,872.25/380,866.50
6. Step 6: Final answer
   x = 1,740,632.24