Finding the Third Proportional to 41,097 and 89,739

Step by Step Solution

1. Step 1: Write the proportion equation
   41,097 : 89,739 = 89,739 : x
2. Step 2: Convert to fraction form
   41,097/89,739 = 89,739/x
3. Step 3: Cross multiply
   41,097x = 89,739 × 89,739
4. Step 4: Simplify right side
   41,097x = 8,053,088,121
5. Step 5: Solve for x
   x = 8,053,088,121/41,097
6. Step 6: Final answer
   x = 195,953.19