Finding the Third Proportional to 88,260 and 192,384

Step by Step Solution

1. Step 1: Write the proportion equation
   88,260 : 192,384 = 192,384 : x
2. Step 2: Convert to fraction form
   88,260/192,384 = 192,384/x
3. Step 3: Cross multiply
   88,260x = 192,384 × 192,384
4. Step 4: Simplify right side
   88,260x = 37,011,603,456
5. Step 5: Solve for x
   x = 37,011,603,456/88,260
6. Step 6: Final answer
   x = 419,347.42