Finding the Third Proportional to 645,796,414,384 and 1,383,706,868,508

Step by Step Solution

1. Step 1: Write the proportion equation
   645,796,414,384 : 1,383,706,868,508 = 1,383,706,868,508 : x
2. Step 2: Convert to fraction form
   645,796,414,384/1,383,706,868,508 = 1,383,706,868,508/x
3. Step 3: Cross multiply
   645,796,414,384x = 1,383,706,868,508 × 1,383,706,868,508
4. Step 4: Simplify right side
   645,796,414,384x = 1,914,644,697,956,215,676,731,392
5. Step 5: Solve for x
   x = 1,914,644,697,956,215,676,731,392/645,796,414,384
6. Step 6: Final answer
   x = 2,964,780,626,387.53