Finding the Third Proportional to 645,796,414,320 and 1,383,706,868,370

Step by Step Solution

1. Step 1: Write the proportion equation
   645,796,414,320 : 1,383,706,868,370 = 1,383,706,868,370 : x
2. Step 2: Convert to fraction form
   645,796,414,320/1,383,706,868,370 = 1,383,706,868,370/x
3. Step 3: Cross multiply
   645,796,414,320x = 1,383,706,868,370 × 1,383,706,868,370
4. Step 4: Simplify right side
   645,796,414,320x = 1,914,644,697,574,312,553,480,192
5. Step 5: Solve for x
   x = 1,914,644,697,574,312,553,480,192/645,796,414,320
6. Step 6: Final answer
   x = 2,964,780,626,089.98