Finding the Third Proportional to 41,808 and 89,288

Step by Step Solution

1. Step 1: Write the proportion equation
   41,808 : 89,288 = 89,288 : x
2. Step 2: Convert to fraction form
   41,808/89,288 = 89,288/x
3. Step 3: Cross multiply
   41,808x = 89,288 × 89,288
4. Step 4: Simplify right side
   41,808x = 7,972,346,944
5. Step 5: Solve for x
   x = 7,972,346,944/41,808
6. Step 6: Final answer
   x = 190,689.51