Finding the Third Proportional to 380,852 and 890,078

Step by Step Solution

1. Step 1: Write the proportion equation
   380,852 : 890,078 = 890,078 : x
2. Step 2: Convert to fraction form
   380,852/890,078 = 890,078/x
3. Step 3: Cross multiply
   380,852x = 890,078 × 890,078
4. Step 4: Simplify right side
   380,852x = 792,238,846,084
5. Step 5: Solve for x
   x = 792,238,846,084/380,852
6. Step 6: Final answer
   x = 2,080,175.10