Finding the Third Proportional to 41,621 and 89,197

Step by Step Solution

1. Step 1: Write the proportion equation
   41,621 : 89,197 = 89,197 : x
2. Step 2: Convert to fraction form
   41,621/89,197 = 89,197/x
3. Step 3: Cross multiply
   41,621x = 89,197 × 89,197
4. Step 4: Simplify right side
   41,621x = 7,956,104,809
5. Step 5: Solve for x
   x = 7,956,104,809/41,621
6. Step 6: Final answer
   x = 191,156.02