Finding the Third Proportional to 41,337 and 89,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,337 : 89,678.25 = 89,678.25 : x
2. Step 2: Convert to fraction form
   41,337/89,678.25 = 89,678.25/x
3. Step 3: Cross multiply
   41,337x = 89,678.25 × 89,678.25
4. Step 4: Simplify right side
   41,337x = 8,042,188,523.06
5. Step 5: Solve for x
   x = 8,042,188,523.06/41,337
6. Step 6: Final answer
   x = 194,551.82