Finding the Third Proportional to 196,920 and 433,204

Step by Step Solution

1. Step 1: Write the proportion equation
   196,920 : 433,204 = 433,204 : x
2. Step 2: Convert to fraction form
   196,920/433,204 = 433,204/x
3. Step 3: Cross multiply
   196,920x = 433,204 × 433,204
4. Step 4: Simplify right side
   196,920x = 187,665,705,616
5. Step 5: Solve for x
   x = 187,665,705,616/196,920
6. Step 6: Final answer
   x = 953,004.80