Finding the Third Proportional to 41,596 and 89,080

Step by Step Solution

1. Step 1: Write the proportion equation
   41,596 : 89,080 = 89,080 : x
2. Step 2: Convert to fraction form
   41,596/89,080 = 89,080/x
3. Step 3: Cross multiply
   41,596x = 89,080 × 89,080
4. Step 4: Simplify right side
   41,596x = 7,935,246,400
5. Step 5: Solve for x
   x = 7,935,246,400/41,596
6. Step 6: Final answer
   x = 190,769.46