Finding the Third Proportional to 462,968,340,160 and 996,875,550,764

Step by Step Solution

1. Step 1: Write the proportion equation
   462,968,340,160 : 996,875,550,764 = 996,875,550,764 : x
2. Step 2: Convert to fraction form
   462,968,340,160/996,875,550,764 = 996,875,550,764/x
3. Step 3: Cross multiply
   462,968,340,160x = 996,875,550,764 × 996,875,550,764
4. Step 4: Simplify right side
   462,968,340,160x = 993,760,863,711,028,402,192,384
5. Step 5: Solve for x
   x = 993,760,863,711,028,402,192,384/462,968,340,160
6. Step 6: Final answer
   x = 2,146,498,534,581.41