Finding the Third Proportional to 525,760 and 801,648

Step by Step Solution

1. Step 1: Write the proportion equation
   525,760 : 801,648 = 801,648 : x
2. Step 2: Convert to fraction form
   525,760/801,648 = 801,648/x
3. Step 3: Cross multiply
   525,760x = 801,648 × 801,648
4. Step 4: Simplify right side
   525,760x = 642,639,515,904
5. Step 5: Solve for x
   x = 642,639,515,904/525,760
6. Step 6: Final answer
   x = 1,222,305.84