Finding the Third Proportional to 89,244 and 192,564

Step by Step Solution

1. Step 1: Write the proportion equation
   89,244 : 192,564 = 192,564 : x
2. Step 2: Convert to fraction form
   89,244/192,564 = 192,564/x
3. Step 3: Cross multiply
   89,244x = 192,564 × 192,564
4. Step 4: Simplify right side
   89,244x = 37,080,894,096
5. Step 5: Solve for x
   x = 37,080,894,096/89,244
6. Step 6: Final answer
   x = 415,500.14