Finding the Third Proportional to 89,932 and 192,984

Step by Step Solution

1. Step 1: Write the proportion equation
   89,932 : 192,984 = 192,984 : x
2. Step 2: Convert to fraction form
   89,932/192,984 = 192,984/x
3. Step 3: Cross multiply
   89,932x = 192,984 × 192,984
4. Step 4: Simplify right side
   89,932x = 37,242,824,256
5. Step 5: Solve for x
   x = 37,242,824,256/89,932
6. Step 6: Final answer
   x = 414,122.05