Finding the Third Proportional to 41,880 and 91,158

Step by Step Solution

1. Step 1: Write the proportion equation
   41,880 : 91,158 = 91,158 : x
2. Step 2: Convert to fraction form
   41,880/91,158 = 91,158/x
3. Step 3: Cross multiply
   41,880x = 91,158 × 91,158
4. Step 4: Simplify right side
   41,880x = 8,309,780,964
5. Step 5: Solve for x
   x = 8,309,780,964/41,880
6. Step 6: Final answer
   x = 198,418.84