Finding the Third Proportional to 89,450 and 194,443

Step by Step Solution

1. Step 1: Write the proportion equation
   89,450 : 194,443 = 194,443 : x
2. Step 2: Convert to fraction form
   89,450/194,443 = 194,443/x
3. Step 3: Cross multiply
   89,450x = 194,443 × 194,443
4. Step 4: Simplify right side
   89,450x = 37,808,080,249
5. Step 5: Solve for x
   x = 37,808,080,249/89,450
6. Step 6: Final answer
   x = 422,672.78