Finding the Third Proportional to 525,328 and 820,796

Step by Step Solution

1. Step 1: Write the proportion equation
   525,328 : 820,796 = 820,796 : x
2. Step 2: Convert to fraction form
   525,328/820,796 = 820,796/x
3. Step 3: Cross multiply
   525,328x = 820,796 × 820,796
4. Step 4: Simplify right side
   525,328x = 673,706,073,616
5. Step 5: Solve for x
   x = 673,706,073,616/525,328
6. Step 6: Final answer
   x = 1,282,448.44