Finding the Third Proportional to 41,133 and 89,702

Step by Step Solution

1. Step 1: Write the proportion equation
   41,133 : 89,702 = 89,702 : x
2. Step 2: Convert to fraction form
   41,133/89,702 = 89,702/x
3. Step 3: Cross multiply
   41,133x = 89,702 × 89,702
4. Step 4: Simplify right side
   41,133x = 8,046,448,804
5. Step 5: Solve for x
   x = 8,046,448,804/41,133
6. Step 6: Final answer
   x = 195,620.28