Finding the Third Proportional to 89,384 and 192,490

Step by Step Solution

1. Step 1: Write the proportion equation
   89,384 : 192,490 = 192,490 : x
2. Step 2: Convert to fraction form
   89,384/192,490 = 192,490/x
3. Step 3: Cross multiply
   89,384x = 192,490 × 192,490
4. Step 4: Simplify right side
   89,384x = 37,052,400,100
5. Step 5: Solve for x
   x = 37,052,400,100/89,384
6. Step 6: Final answer
   x = 414,530.57