Finding the Third Proportional to 380,235 and 826,158

Step by Step Solution

1. Step 1: Write the proportion equation
   380,235 : 826,158 = 826,158 : x
2. Step 2: Convert to fraction form
   380,235/826,158 = 826,158/x
3. Step 3: Cross multiply
   380,235x = 826,158 × 826,158
4. Step 4: Simplify right side
   380,235x = 682,537,040,964
5. Step 5: Solve for x
   x = 682,537,040,964/380,235
6. Step 6: Final answer
   x = 1,795,040.02