Finding the Third Proportional to 90,492 and 193,005

Step by Step Solution

1. Step 1: Write the proportion equation
   90,492 : 193,005 = 193,005 : x
2. Step 2: Convert to fraction form
   90,492/193,005 = 193,005/x
3. Step 3: Cross multiply
   90,492x = 193,005 × 193,005
4. Step 4: Simplify right side
   90,492x = 37,250,930,025
5. Step 5: Solve for x
   x = 37,250,930,025/90,492
6. Step 6: Final answer
   x = 411,648.88