Finding the Third Proportional to 41,646 and 89,240

Step by Step Solution

1. Step 1: Write the proportion equation
   41,646 : 89,240 = 89,240 : x
2. Step 2: Convert to fraction form
   41,646/89,240 = 89,240/x
3. Step 3: Cross multiply
   41,646x = 89,240 × 89,240
4. Step 4: Simplify right side
   41,646x = 7,963,777,600
5. Step 5: Solve for x
   x = 7,963,777,600/41,646
6. Step 6: Final answer
   x = 191,225.51