Finding the Third Proportional to 41,878 and 91,154

Step by Step Solution

1. Step 1: Write the proportion equation
   41,878 : 91,154 = 91,154 : x
2. Step 2: Convert to fraction form
   41,878/91,154 = 91,154/x
3. Step 3: Cross multiply
   41,878x = 91,154 × 91,154
4. Step 4: Simplify right side
   41,878x = 8,309,051,716
5. Step 5: Solve for x
   x = 8,309,051,716/41,878
6. Step 6: Final answer
   x = 198,410.90