Finding the Third Proportional to 828,022.50 and 1,686,494.25

Step by Step Solution

1. Step 1: Write the proportion equation
   828,022.50 : 1,686,494.25 = 1,686,494.25 : x
2. Step 2: Convert to fraction form
   828,022.50/1,686,494.25 = 1,686,494.25/x
3. Step 3: Cross multiply
   828,022.50x = 1,686,494.25 × 1,686,494.25
4. Step 4: Simplify right side
   828,022.50x = 2,844,262,855,283.06
5. Step 5: Solve for x
   x = 2,844,262,855,283.06/828,022.50
6. Step 6: Final answer
   x = 3,435,006.72