Finding the Third Proportional to 378,993,199,974 and 842,723,870,124

Step by Step Solution

1. Step 1: Write the proportion equation
   378,993,199,974 : 842,723,870,124 = 842,723,870,124 : x
2. Step 2: Convert to fraction form
   378,993,199,974/842,723,870,124 = 842,723,870,124/x
3. Step 3: Cross multiply
   378,993,199,974x = 842,723,870,124 × 842,723,870,124
4. Step 4: Simplify right side
   378,993,199,974x = 710,183,521,276,772,386,603,008
5. Step 5: Solve for x
   x = 710,183,521,276,772,386,603,008/378,993,199,974
6. Step 6: Final answer
   x = 1,873,868,769,480.54