Finding the Third Proportional to 380,077.50 and 826,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,077.50 : 826,309.50 = 826,309.50 : x
2. Step 2: Convert to fraction form
   380,077.50/826,309.50 = 826,309.50/x
3. Step 3: Cross multiply
   380,077.50x = 826,309.50 × 826,309.50
4. Step 4: Simplify right side
   380,077.50x = 682,787,389,790.25
5. Step 5: Solve for x
   x = 682,787,389,790.25/380,077.50
6. Step 6: Final answer
   x = 1,796,442.54