Finding the Third Proportional to 408,826,126,764 and 894,591,092,862

Step by Step Solution

1. Step 1: Write the proportion equation
   408,826,126,764 : 894,591,092,862 = 894,591,092,862 : x
2. Step 2: Convert to fraction form
   408,826,126,764/894,591,092,862 = 894,591,092,862/x
3. Step 3: Cross multiply
   408,826,126,764x = 894,591,092,862 × 894,591,092,862
4. Step 4: Simplify right side
   408,826,126,764x = 800,293,223,428,027,542,667,264
5. Step 5: Solve for x
   x = 800,293,223,428,027,542,667,264/408,826,126,764
6. Step 6: Final answer
   x = 1,957,539,332,827.44