Finding the Third Proportional to 683,223,576,321 and 1,422,997,152,846

Step by Step Solution

1. Step 1: Write the proportion equation
   683,223,576,321 : 1,422,997,152,846 = 1,422,997,152,846 : x
2. Step 2: Convert to fraction form
   683,223,576,321/1,422,997,152,846 = 1,422,997,152,846/x
3. Step 3: Cross multiply
   683,223,576,321x = 1,422,997,152,846 × 1,422,997,152,846
4. Step 4: Simplify right side
   683,223,576,321x = 2,024,920,897,007,822,277,967,872
5. Step 5: Solve for x
   x = 2,024,920,897,007,822,277,967,872/683,223,576,321
6. Step 6: Final answer
   x = 2,963,774,915,250.36