Finding the Third Proportional to 378,993,199,968 and 842,723,870,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   378,993,199,968 : 842,723,870,215.50 = 842,723,870,215.50 : x
2. Step 2: Convert to fraction form
   378,993,199,968/842,723,870,215.50 = 842,723,870,215.50/x
3. Step 3: Cross multiply
   378,993,199,968x = 842,723,870,215.50 × 842,723,870,215.50
4. Step 4: Simplify right side
   378,993,199,968x = 710,183,521,430,990,837,776,384
5. Step 5: Solve for x
   x = 710,183,521,430,990,837,776,384/378,993,199,968
6. Step 6: Final answer
   x = 1,873,868,769,917.12