Finding the Third Proportional to 385,824 and 801,216

Step by Step Solution

1. Step 1: Write the proportion equation
   385,824 : 801,216 = 801,216 : x
2. Step 2: Convert to fraction form
   385,824/801,216 = 801,216/x
3. Step 3: Cross multiply
   385,824x = 801,216 × 801,216
4. Step 4: Simplify right side
   385,824x = 641,947,078,656
5. Step 5: Solve for x
   x = 641,947,078,656/385,824
6. Step 6: Final answer
   x = 1,663,833.97