Finding the Third Proportional to 41,120 and 89,677

Step by Step Solution

1. Step 1: Write the proportion equation
   41,120 : 89,677 = 89,677 : x
2. Step 2: Convert to fraction form
   41,120/89,677 = 89,677/x
3. Step 3: Cross multiply
   41,120x = 89,677 × 89,677
4. Step 4: Simplify right side
   41,120x = 8,041,964,329
5. Step 5: Solve for x
   x = 8,041,964,329/41,120
6. Step 6: Final answer
   x = 195,573.06