Finding the Third Proportional to 41,427 and 89,855

Step by Step Solution

1. Step 1: Write the proportion equation
   41,427 : 89,855 = 89,855 : x
2. Step 2: Convert to fraction form
   41,427/89,855 = 89,855/x
3. Step 3: Cross multiply
   41,427x = 89,855 × 89,855
4. Step 4: Simplify right side
   41,427x = 8,073,921,025
5. Step 5: Solve for x
   x = 8,073,921,025/41,427
6. Step 6: Final answer
   x = 194,895.14