Finding the Third Proportional to 462,968,340,164 and 996,875,550,772

Step by Step Solution

1. Step 1: Write the proportion equation
   462,968,340,164 : 996,875,550,772 = 996,875,550,772 : x
2. Step 2: Convert to fraction form
   462,968,340,164/996,875,550,772 = 996,875,550,772/x
3. Step 3: Cross multiply
   462,968,340,164x = 996,875,550,772 × 996,875,550,772
4. Step 4: Simplify right side
   462,968,340,164x = 993,760,863,726,978,300,116,992
5. Step 5: Solve for x
   x = 993,760,863,726,978,300,116,992/462,968,340,164
6. Step 6: Final answer
   x = 2,146,498,534,597.32