Finding the Third Proportional to 90,398 and 196,882

Step by Step Solution

1. Step 1: Write the proportion equation
   90,398 : 196,882 = 196,882 : x
2. Step 2: Convert to fraction form
   90,398/196,882 = 196,882/x
3. Step 3: Cross multiply
   90,398x = 196,882 × 196,882
4. Step 4: Simplify right side
   90,398x = 38,762,521,924
5. Step 5: Solve for x
   x = 38,762,521,924/90,398
6. Step 6: Final answer
   x = 428,798.45