Finding the Third Proportional to 382,626,533,808 and 822,036,076,902

Step by Step Solution

1. Step 1: Write the proportion equation
   382,626,533,808 : 822,036,076,902 = 822,036,076,902 : x
2. Step 2: Convert to fraction form
   382,626,533,808/822,036,076,902 = 822,036,076,902/x
3. Step 3: Cross multiply
   382,626,533,808x = 822,036,076,902 × 822,036,076,902
4. Step 4: Simplify right side
   382,626,533,808x = 675,743,311,728,430,878,294,016
5. Step 5: Solve for x
   x = 675,743,311,728,430,878,294,016/382,626,533,808
6. Step 6: Final answer
   x = 1,766,064,953,737.67