Finding the Third Proportional to 380,112 and 825,942

Step by Step Solution

1. Step 1: Write the proportion equation
   380,112 : 825,942 = 825,942 : x
2. Step 2: Convert to fraction form
   380,112/825,942 = 825,942/x
3. Step 3: Cross multiply
   380,112x = 825,942 × 825,942
4. Step 4: Simplify right side
   380,112x = 682,180,187,364
5. Step 5: Solve for x
   x = 682,180,187,364/380,112
6. Step 6: Final answer
   x = 1,794,682.06