Finding the Third Proportional to 40,941 and 89,577

Step by Step Solution

1. Step 1: Write the proportion equation
   40,941 : 89,577 = 89,577 : x
2. Step 2: Convert to fraction form
   40,941/89,577 = 89,577/x
3. Step 3: Cross multiply
   40,941x = 89,577 × 89,577
4. Step 4: Simplify right side
   40,941x = 8,024,038,929
5. Step 5: Solve for x
   x = 8,024,038,929/40,941
6. Step 6: Final answer
   x = 195,990.30