Finding the Third Proportional to 89,665 and 194,174

Step by Step Solution

1. Step 1: Write the proportion equation
   89,665 : 194,174 = 194,174 : x
2. Step 2: Convert to fraction form
   89,665/194,174 = 194,174/x
3. Step 3: Cross multiply
   89,665x = 194,174 × 194,174
4. Step 4: Simplify right side
   89,665x = 37,703,542,276
5. Step 5: Solve for x
   x = 37,703,542,276/89,665
6. Step 6: Final answer
   x = 420,493.42