Finding the Third Proportional to 88,962 and 192,504

Step by Step Solution

1. Step 1: Write the proportion equation
   88,962 : 192,504 = 192,504 : x
2. Step 2: Convert to fraction form
   88,962/192,504 = 192,504/x
3. Step 3: Cross multiply
   88,962x = 192,504 × 192,504
4. Step 4: Simplify right side
   88,962x = 37,057,790,016
5. Step 5: Solve for x
   x = 37,057,790,016/88,962
6. Step 6: Final answer
   x = 416,557.52