Finding the Third Proportional to 462,968,340,174 and 996,875,550,792

Step by Step Solution

1. Step 1: Write the proportion equation
   462,968,340,174 : 996,875,550,792 = 996,875,550,792 : x
2. Step 2: Convert to fraction form
   462,968,340,174/996,875,550,792 = 996,875,550,792/x
3. Step 3: Cross multiply
   462,968,340,174x = 996,875,550,792 × 996,875,550,792
4. Step 4: Simplify right side
   462,968,340,174x = 993,760,863,766,853,313,363,968
5. Step 5: Solve for x
   x = 993,760,863,766,853,313,363,968/462,968,340,174
6. Step 6: Final answer
   x = 2,146,498,534,637.08