Finding the Third Proportional to 462,968,340,166 and 996,875,550,776

Step by Step Solution

1. Step 1: Write the proportion equation
   462,968,340,166 : 996,875,550,776 = 996,875,550,776 : x
2. Step 2: Convert to fraction form
   462,968,340,166/996,875,550,776 = 996,875,550,776/x
3. Step 3: Cross multiply
   462,968,340,166x = 996,875,550,776 × 996,875,550,776
4. Step 4: Simplify right side
   462,968,340,166x = 993,760,863,734,953,383,297,024
5. Step 5: Solve for x
   x = 993,760,863,734,953,383,297,024/462,968,340,166
6. Step 6: Final answer
   x = 2,146,498,534,605.27