Finding the Third Proportional to 41,354 and 89,710

Step by Step Solution

1. Step 1: Write the proportion equation
   41,354 : 89,710 = 89,710 : x
2. Step 2: Convert to fraction form
   41,354/89,710 = 89,710/x
3. Step 3: Cross multiply
   41,354x = 89,710 × 89,710
4. Step 4: Simplify right side
   41,354x = 8,047,884,100
5. Step 5: Solve for x
   x = 8,047,884,100/41,354
6. Step 6: Final answer
   x = 194,609.57