Finding the Third Proportional to 380,134 and 823,007

Step by Step Solution

1. Step 1: Write the proportion equation
   380,134 : 823,007 = 823,007 : x
2. Step 2: Convert to fraction form
   380,134/823,007 = 823,007/x
3. Step 3: Cross multiply
   380,134x = 823,007 × 823,007
4. Step 4: Simplify right side
   380,134x = 677,340,522,049
5. Step 5: Solve for x
   x = 677,340,522,049/380,134
6. Step 6: Final answer
   x = 1,781,846.72