Finding the Third Proportional to 826,329 and 1,751,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   826,329 : 1,751,863.50 = 1,751,863.50 : x
2. Step 2: Convert to fraction form
   826,329/1,751,863.50 = 1,751,863.50/x
3. Step 3: Cross multiply
   826,329x = 1,751,863.50 × 1,751,863.50
4. Step 4: Simplify right side
   826,329x = 3,069,025,722,632.25
5. Step 5: Solve for x
   x = 3,069,025,722,632.25/826,329
6. Step 6: Final answer
   x = 3,714,048.18