Finding the Third Proportional to 89,291 and 192,478

Step by Step Solution

1. Step 1: Write the proportion equation
   89,291 : 192,478 = 192,478 : x
2. Step 2: Convert to fraction form
   89,291/192,478 = 192,478/x
3. Step 3: Cross multiply
   89,291x = 192,478 × 192,478
4. Step 4: Simplify right side
   89,291x = 37,047,780,484
5. Step 5: Solve for x
   x = 37,047,780,484/89,291
6. Step 6: Final answer
   x = 414,910.58