Finding the Third Proportional to 41,822 and 89,708

Step by Step Solution

1. Step 1: Write the proportion equation
   41,822 : 89,708 = 89,708 : x
2. Step 2: Convert to fraction form
   41,822/89,708 = 89,708/x
3. Step 3: Cross multiply
   41,822x = 89,708 × 89,708
4. Step 4: Simplify right side
   41,822x = 8,047,525,264
5. Step 5: Solve for x
   x = 8,047,525,264/41,822
6. Step 6: Final answer
   x = 192,423.25