Finding the Third Proportional to 89,749 and 182,441

Step by Step Solution

1. Step 1: Write the proportion equation
   89,749 : 182,441 = 182,441 : x
2. Step 2: Convert to fraction form
   89,749/182,441 = 182,441/x
3. Step 3: Cross multiply
   89,749x = 182,441 × 182,441
4. Step 4: Simplify right side
   89,749x = 33,284,718,481
5. Step 5: Solve for x
   x = 33,284,718,481/89,749
6. Step 6: Final answer
   x = 370,864.51