Finding the Third Proportional to 823,204,369,668 and 1,783,168,113,768

Step by Step Solution

1. Step 1: Write the proportion equation
   823,204,369,668 : 1,783,168,113,768 = 1,783,168,113,768 : x
2. Step 2: Convert to fraction form
   823,204,369,668/1,783,168,113,768 = 1,783,168,113,768/x
3. Step 3: Cross multiply
   823,204,369,668x = 1,783,168,113,768 × 1,783,168,113,768
4. Step 4: Simplify right side
   823,204,369,668x = 3,179,688,521,958,927,120,728,064
5. Step 5: Solve for x
   x = 3,179,688,521,958,927,120,728,064/823,204,369,668
6. Step 6: Final answer
   x = 3,862,574,883,125.68