Finding the Third Proportional to 90,788 and 199,492

Step by Step Solution

1. Step 1: Write the proportion equation
   90,788 : 199,492 = 199,492 : x
2. Step 2: Convert to fraction form
   90,788/199,492 = 199,492/x
3. Step 3: Cross multiply
   90,788x = 199,492 × 199,492
4. Step 4: Simplify right side
   90,788x = 39,797,058,064
5. Step 5: Solve for x
   x = 39,797,058,064/90,788
6. Step 6: Final answer
   x = 438,351.52