Finding the Third Proportional to 340,896 and 741,648

Step by Step Solution

1. Step 1: Write the proportion equation
   340,896 : 741,648 = 741,648 : x
2. Step 2: Convert to fraction form
   340,896/741,648 = 741,648/x
3. Step 3: Cross multiply
   340,896x = 741,648 × 741,648
4. Step 4: Simplify right side
   340,896x = 550,041,755,904
5. Step 5: Solve for x
   x = 550,041,755,904/340,896
6. Step 6: Final answer
   x = 1,613,517.78