Finding the Third Proportional to 462,968,340,146 and 996,875,550,736

Step by Step Solution

1. Step 1: Write the proportion equation
   462,968,340,146 : 996,875,550,736 = 996,875,550,736 : x
2. Step 2: Convert to fraction form
   462,968,340,146/996,875,550,736 = 996,875,550,736/x
3. Step 3: Cross multiply
   462,968,340,146x = 996,875,550,736 × 996,875,550,736
4. Step 4: Simplify right side
   462,968,340,146x = 993,760,863,655,203,356,803,072
5. Step 5: Solve for x
   x = 993,760,863,655,203,356,803,072/462,968,340,146
6. Step 6: Final answer
   x = 2,146,498,534,525.74