Finding the Third Proportional to 12,298,629,072,864 and 26,448,159,532,320

Step by Step Solution

1. Step 1: Write the proportion equation
   12,298,629,072,864 : 26,448,159,532,320 = 26,448,159,532,320 : x
2. Step 2: Convert to fraction form
   12,298,629,072,864/26,448,159,532,320 = 26,448,159,532,320/x
3. Step 3: Cross multiply
   12,298,629,072,864x = 26,448,159,532,320 × 26,448,159,532,320
4. Step 4: Simplify right side
   12,298,629,072,864x = 699,505,142,647,049,323,139,825,664
5. Step 5: Solve for x
   x = 699,505,142,647,049,323,139,825,664/12,298,629,072,864
6. Step 6: Final answer
   x = 56,876,676,132,175.97