Finding the Third Proportional to 41,898 and 91,184

Step by Step Solution

1. Step 1: Write the proportion equation
   41,898 : 91,184 = 91,184 : x
2. Step 2: Convert to fraction form
   41,898/91,184 = 91,184/x
3. Step 3: Cross multiply
   41,898x = 91,184 × 91,184
4. Step 4: Simplify right side
   41,898x = 8,314,521,856
5. Step 5: Solve for x
   x = 8,314,521,856/41,898
6. Step 6: Final answer
   x = 198,446.75