Finding the Third Proportional to 41,604 and 89,096

Step by Step Solution

1. Step 1: Write the proportion equation
   41,604 : 89,096 = 89,096 : x
2. Step 2: Convert to fraction form
   41,604/89,096 = 89,096/x
3. Step 3: Cross multiply
   41,604x = 89,096 × 89,096
4. Step 4: Simplify right side
   41,604x = 7,938,097,216
5. Step 5: Solve for x
   x = 7,938,097,216/41,604
6. Step 6: Final answer
   x = 190,801.30