Finding the Third Proportional to 645,796,414,318 and 1,383,706,868,366

Step by Step Solution

1. Step 1: Write the proportion equation
   645,796,414,318 : 1,383,706,868,366 = 1,383,706,868,366 : x
2. Step 2: Convert to fraction form
   645,796,414,318/1,383,706,868,366 = 1,383,706,868,366/x
3. Step 3: Cross multiply
   645,796,414,318x = 1,383,706,868,366 × 1,383,706,868,366
4. Step 4: Simplify right side
   645,796,414,318x = 1,914,644,697,563,242,812,145,664
5. Step 5: Solve for x
   x = 1,914,644,697,563,242,812,145,664/645,796,414,318
6. Step 6: Final answer
   x = 2,964,780,626,082.02