Finding the Third Proportional to 90,455 and 196,981

Step by Step Solution

1. Step 1: Write the proportion equation
   90,455 : 196,981 = 196,981 : x
2. Step 2: Convert to fraction form
   90,455/196,981 = 196,981/x
3. Step 3: Cross multiply
   90,455x = 196,981 × 196,981
4. Step 4: Simplify right side
   90,455x = 38,801,514,361
5. Step 5: Solve for x
   x = 38,801,514,361/90,455
6. Step 6: Final answer
   x = 428,959.31