Finding the Third Proportional to 89,416 and 194,384

Step by Step Solution

1. Step 1: Write the proportion equation
   89,416 : 194,384 = 194,384 : x
2. Step 2: Convert to fraction form
   89,416/194,384 = 194,384/x
3. Step 3: Cross multiply
   89,416x = 194,384 × 194,384
4. Step 4: Simplify right side
   89,416x = 37,785,139,456
5. Step 5: Solve for x
   x = 37,785,139,456/89,416
6. Step 6: Final answer
   x = 422,576.94