Finding the Third Proportional to 403,812,024,096 and 872,099,054,656

Step by Step Solution

1. Step 1: Write the proportion equation
   403,812,024,096 : 872,099,054,656 = 872,099,054,656 : x
2. Step 2: Convert to fraction form
   403,812,024,096/872,099,054,656 = 872,099,054,656/x
3. Step 3: Cross multiply
   403,812,024,096x = 872,099,054,656 × 872,099,054,656
4. Step 4: Simplify right side
   403,812,024,096x = 760,556,761,131,888,878,288,896
5. Step 5: Solve for x
   x = 760,556,761,131,888,878,288,896/403,812,024,096
6. Step 6: Final answer
   x = 1,883,442,581,568.79