Finding the Third Proportional to 90,492 and 194,857

Step by Step Solution

1. Step 1: Write the proportion equation
   90,492 : 194,857 = 194,857 : x
2. Step 2: Convert to fraction form
   90,492/194,857 = 194,857/x
3. Step 3: Cross multiply
   90,492x = 194,857 × 194,857
4. Step 4: Simplify right side
   90,492x = 37,969,250,449
5. Step 5: Solve for x
   x = 37,969,250,449/90,492
6. Step 6: Final answer
   x = 419,586.82