Finding the Third Proportional to 89,308 and 192,638

Step by Step Solution

1. Step 1: Write the proportion equation
   89,308 : 192,638 = 192,638 : x
2. Step 2: Convert to fraction form
   89,308/192,638 = 192,638/x
3. Step 3: Cross multiply
   89,308x = 192,638 × 192,638
4. Step 4: Simplify right side
   89,308x = 37,109,399,044
5. Step 5: Solve for x
   x = 37,109,399,044/89,308
6. Step 6: Final answer
   x = 415,521.56