Finding the Third Proportional to 380,078 and 819,072

Step by Step Solution

1. Step 1: Write the proportion equation
   380,078 : 819,072 = 819,072 : x
2. Step 2: Convert to fraction form
   380,078/819,072 = 819,072/x
3. Step 3: Cross multiply
   380,078x = 819,072 × 819,072
4. Step 4: Simplify right side
   380,078x = 670,878,941,184
5. Step 5: Solve for x
   x = 670,878,941,184/380,078
6. Step 6: Final answer
   x = 1,765,108.59