Finding the Third Proportional to 89,721 and 194,304

Step by Step Solution

1. Step 1: Write the proportion equation
   89,721 : 194,304 = 194,304 : x
2. Step 2: Convert to fraction form
   89,721/194,304 = 194,304/x
3. Step 3: Cross multiply
   89,721x = 194,304 × 194,304
4. Step 4: Simplify right side
   89,721x = 37,754,044,416
5. Step 5: Solve for x
   x = 37,754,044,416/89,721
6. Step 6: Final answer
   x = 420,793.84