Finding the Third Proportional to 88,666 and 192,884

Step by Step Solution

1. Step 1: Write the proportion equation
   88,666 : 192,884 = 192,884 : x
2. Step 2: Convert to fraction form
   88,666/192,884 = 192,884/x
3. Step 3: Cross multiply
   88,666x = 192,884 × 192,884
4. Step 4: Simplify right side
   88,666x = 37,204,237,456
5. Step 5: Solve for x
   x = 37,204,237,456/88,666
6. Step 6: Final answer
   x = 419,599.82