Finding the Third Proportional to 382,626,533,848 and 822,036,076,980

Step by Step Solution

1. Step 1: Write the proportion equation
   382,626,533,848 : 822,036,076,980 = 822,036,076,980 : x
2. Step 2: Convert to fraction form
   382,626,533,848/822,036,076,980 = 822,036,076,980/x
3. Step 3: Cross multiply
   382,626,533,848x = 822,036,076,980 × 822,036,076,980
4. Step 4: Simplify right side
   382,626,533,848x = 675,743,311,856,668,535,422,976
5. Step 5: Solve for x
   x = 675,743,311,856,668,535,422,976/382,626,533,848
6. Step 6: Final answer
   x = 1,766,064,953,888.20