Finding the Third Proportional to 41,136 and 85,505

Step by Step Solution

1. Step 1: Write the proportion equation
   41,136 : 85,505 = 85,505 : x
2. Step 2: Convert to fraction form
   41,136/85,505 = 85,505/x
3. Step 3: Cross multiply
   41,136x = 85,505 × 85,505
4. Step 4: Simplify right side
   41,136x = 7,311,105,025
5. Step 5: Solve for x
   x = 7,311,105,025/41,136
6. Step 6: Final answer
   x = 177,730.09