Finding the Third Proportional to 90,196 and 195,944

Step by Step Solution

1. Step 1: Write the proportion equation
   90,196 : 195,944 = 195,944 : x
2. Step 2: Convert to fraction form
   90,196/195,944 = 195,944/x
3. Step 3: Cross multiply
   90,196x = 195,944 × 195,944
4. Step 4: Simplify right side
   90,196x = 38,394,051,136
5. Step 5: Solve for x
   x = 38,394,051,136/90,196
6. Step 6: Final answer
   x = 425,673.55