Finding the Third Proportional to 41,678 and 91,426

Step by Step Solution

1. Step 1: Write the proportion equation
   41,678 : 91,426 = 91,426 : x
2. Step 2: Convert to fraction form
   41,678/91,426 = 91,426/x
3. Step 3: Cross multiply
   41,678x = 91,426 × 91,426
4. Step 4: Simplify right side
   41,678x = 8,358,713,476
5. Step 5: Solve for x
   x = 8,358,713,476/41,678
6. Step 6: Final answer
   x = 200,554.57