Finding the Third Proportional to 41,661 and 89,262

Step by Step Solution

1. Step 1: Write the proportion equation
   41,661 : 89,262 = 89,262 : x
2. Step 2: Convert to fraction form
   41,661/89,262 = 89,262/x
3. Step 3: Cross multiply
   41,661x = 89,262 × 89,262
4. Step 4: Simplify right side
   41,661x = 7,967,704,644
5. Step 5: Solve for x
   x = 7,967,704,644/41,661
6. Step 6: Final answer
   x = 191,250.92