Finding the Third Proportional to 380,076 and 825,862

Step by Step Solution

1. Step 1: Write the proportion equation
   380,076 : 825,862 = 825,862 : x
2. Step 2: Convert to fraction form
   380,076/825,862 = 825,862/x
3. Step 3: Cross multiply
   380,076x = 825,862 × 825,862
4. Step 4: Simplify right side
   380,076x = 682,048,043,044
5. Step 5: Solve for x
   x = 682,048,043,044/380,076
6. Step 6: Final answer
   x = 1,794,504.37