Finding the Third Proportional to 525,640 and 823,626

Step by Step Solution

1. Step 1: Write the proportion equation
   525,640 : 823,626 = 823,626 : x
2. Step 2: Convert to fraction form
   525,640/823,626 = 823,626/x
3. Step 3: Cross multiply
   525,640x = 823,626 × 823,626
4. Step 4: Simplify right side
   525,640x = 678,359,787,876
5. Step 5: Solve for x
   x = 678,359,787,876/525,640
6. Step 6: Final answer
   x = 1,290,540.65