Finding the Third Proportional to 89,600 and 192,482

Step by Step Solution

1. Step 1: Write the proportion equation
   89,600 : 192,482 = 192,482 : x
2. Step 2: Convert to fraction form
   89,600/192,482 = 192,482/x
3. Step 3: Cross multiply
   89,600x = 192,482 × 192,482
4. Step 4: Simplify right side
   89,600x = 37,049,320,324
5. Step 5: Solve for x
   x = 37,049,320,324/89,600
6. Step 6: Final answer
   x = 413,496.88