Finding the Third Proportional to 382,626,533,934 and 822,036,077,208

Step by Step Solution

1. Step 1: Write the proportion equation
   382,626,533,934 : 822,036,077,208 = 822,036,077,208 : x
2. Step 2: Convert to fraction form
   382,626,533,934/822,036,077,208 = 822,036,077,208/x
3. Step 3: Cross multiply
   382,626,533,934x = 822,036,077,208 × 822,036,077,208
4. Step 4: Simplify right side
   382,626,533,934x = 675,743,312,231,516,906,455,040
5. Step 5: Solve for x
   x = 675,743,312,231,516,906,455,040/382,626,533,934
6. Step 6: Final answer
   x = 1,766,064,954,470.92