Finding the Third Proportional to 380,974.50 and 814,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,974.50 : 814,435.50 = 814,435.50 : x
2. Step 2: Convert to fraction form
   380,974.50/814,435.50 = 814,435.50/x
3. Step 3: Cross multiply
   380,974.50x = 814,435.50 × 814,435.50
4. Step 4: Simplify right side
   380,974.50x = 663,305,183,660.25
5. Step 5: Solve for x
   x = 663,305,183,660.25/380,974.50
6. Step 6: Final answer
   x = 1,741,075.02