Finding the Third Proportional to 41,876,869,017,150 and 91,642,458,350,166

Step by Step Solution

1. Step 1: Write the proportion equation
   41,876,869,017,150 : 91,642,458,350,166 = 91,642,458,350,166 : x
2. Step 2: Convert to fraction form
   41,876,869,017,150/91,642,458,350,166 = 91,642,458,350,166/x
3. Step 3: Cross multiply
   41,876,869,017,150x = 91,642,458,350,166 × 91,642,458,350,166
4. Step 4: Simplify right side
   41,876,869,017,150x = 8,398,340,172,461,910,505,499,394,048
5. Step 5: Solve for x
   x = 8,398,340,172,461,910,505,499,394,048/41,876,869,017,150
6. Step 6: Final answer
   x = 200,548,426,125,709.28