Finding the Third Proportional to 382,626,534,530 and 822,036,078,388

Step by Step Solution

1. Step 1: Write the proportion equation
   382,626,534,530 : 822,036,078,388 = 822,036,078,388 : x
2. Step 2: Convert to fraction form
   382,626,534,530/822,036,078,388 = 822,036,078,388/x
3. Step 3: Cross multiply
   382,626,534,530x = 822,036,078,388 × 822,036,078,388
4. Step 4: Simplify right side
   382,626,534,530x = 675,743,314,171,522,092,892,160
5. Step 5: Solve for x
   x = 675,743,314,171,522,092,892,160/382,626,534,530
6. Step 6: Final answer
   x = 1,766,064,956,790.24