Finding the Third Proportional to 89,385 and 192,492

Step by Step Solution

1. Step 1: Write the proportion equation
   89,385 : 192,492 = 192,492 : x
2. Step 2: Convert to fraction form
   89,385/192,492 = 192,492/x
3. Step 3: Cross multiply
   89,385x = 192,492 × 192,492
4. Step 4: Simplify right side
   89,385x = 37,053,170,064
5. Step 5: Solve for x
   x = 37,053,170,064/89,385
6. Step 6: Final answer
   x = 414,534.54