Finding the Third Proportional to 89,244 and 194,766

Step by Step Solution

1. Step 1: Write the proportion equation
   89,244 : 194,766 = 194,766 : x
2. Step 2: Convert to fraction form
   89,244/194,766 = 194,766/x
3. Step 3: Cross multiply
   89,244x = 194,766 × 194,766
4. Step 4: Simplify right side
   89,244x = 37,933,794,756
5. Step 5: Solve for x
   x = 37,933,794,756/89,244
6. Step 6: Final answer
   x = 425,057.09