Finding the Third Proportional to 41,627 and 89,908

Step by Step Solution

1. Step 1: Write the proportion equation
   41,627 : 89,908 = 89,908 : x
2. Step 2: Convert to fraction form
   41,627/89,908 = 89,908/x
3. Step 3: Cross multiply
   41,627x = 89,908 × 89,908
4. Step 4: Simplify right side
   41,627x = 8,083,448,464
5. Step 5: Solve for x
   x = 8,083,448,464/41,627
6. Step 6: Final answer
   x = 194,187.63