Finding the Third Proportional to 41,840 and 89,752

Step by Step Solution

1. Step 1: Write the proportion equation
   41,840 : 89,752 = 89,752 : x
2. Step 2: Convert to fraction form
   41,840/89,752 = 89,752/x
3. Step 3: Cross multiply
   41,840x = 89,752 × 89,752
4. Step 4: Simplify right side
   41,840x = 8,055,421,504
5. Step 5: Solve for x
   x = 8,055,421,504/41,840
6. Step 6: Final answer
   x = 192,529.19