Finding the Third Proportional to 89,306 and 192,436

Step by Step Solution

1. Step 1: Write the proportion equation
   89,306 : 192,436 = 192,436 : x
2. Step 2: Convert to fraction form
   89,306/192,436 = 192,436/x
3. Step 3: Cross multiply
   89,306x = 192,436 × 192,436
4. Step 4: Simplify right side
   89,306x = 37,031,614,096
5. Step 5: Solve for x
   x = 37,031,614,096/89,306
6. Step 6: Final answer
   x = 414,659.87