Finding the Third Proportional to 92,174 and 197,404

Step by Step Solution

1. Step 1: Write the proportion equation
   92,174 : 197,404 = 197,404 : x
2. Step 2: Convert to fraction form
   92,174/197,404 = 197,404/x
3. Step 3: Cross multiply
   92,174x = 197,404 × 197,404
4. Step 4: Simplify right side
   92,174x = 38,968,339,216
5. Step 5: Solve for x
   x = 38,968,339,216/92,174
6. Step 6: Final answer
   x = 422,769.32