Finding the Third Proportional to 89,575 and 192,420

Step by Step Solution

1. Step 1: Write the proportion equation
   89,575 : 192,420 = 192,420 : x
2. Step 2: Convert to fraction form
   89,575/192,420 = 192,420/x
3. Step 3: Cross multiply
   89,575x = 192,420 × 192,420
4. Step 4: Simplify right side
   89,575x = 37,025,456,400
5. Step 5: Solve for x
   x = 37,025,456,400/89,575
6. Step 6: Final answer
   x = 413,345.87