Finding the Third Proportional to 580,656 and 897,216

Step by Step Solution

1. Step 1: Write the proportion equation
   580,656 : 897,216 = 897,216 : x
2. Step 2: Convert to fraction form
   580,656/897,216 = 897,216/x
3. Step 3: Cross multiply
   580,656x = 897,216 × 897,216
4. Step 4: Simplify right side
   580,656x = 804,996,550,656
5. Step 5: Solve for x
   x = 804,996,550,656/580,656
6. Step 6: Final answer
   x = 1,386,357.07