Finding the Third Proportional to 380,038 and 825,786

Step by Step Solution

1. Step 1: Write the proportion equation
   380,038 : 825,786 = 825,786 : x
2. Step 2: Convert to fraction form
   380,038/825,786 = 825,786/x
3. Step 3: Cross multiply
   380,038x = 825,786 × 825,786
4. Step 4: Simplify right side
   380,038x = 681,922,517,796
5. Step 5: Solve for x
   x = 681,922,517,796/380,038
6. Step 6: Final answer
   x = 1,794,353.51