Finding the Third Proportional to 41,113 and 89,653

Step by Step Solution

1. Step 1: Write the proportion equation
   41,113 : 89,653 = 89,653 : x
2. Step 2: Convert to fraction form
   41,113/89,653 = 89,653/x
3. Step 3: Cross multiply
   41,113x = 89,653 × 89,653
4. Step 4: Simplify right side
   41,113x = 8,037,660,409
5. Step 5: Solve for x
   x = 8,037,660,409/41,113
6. Step 6: Final answer
   x = 195,501.68