Finding the Third Proportional to 462,968,340,162 and 996,875,550,768

Step by Step Solution

1. Step 1: Write the proportion equation
   462,968,340,162 : 996,875,550,768 = 996,875,550,768 : x
2. Step 2: Convert to fraction form
   462,968,340,162/996,875,550,768 = 996,875,550,768/x
3. Step 3: Cross multiply
   462,968,340,162x = 996,875,550,768 × 996,875,550,768
4. Step 4: Simplify right side
   462,968,340,162x = 993,760,863,719,003,351,154,688
5. Step 5: Solve for x
   x = 993,760,863,719,003,351,154,688/462,968,340,162
6. Step 6: Final answer
   x = 2,146,498,534,589.36