Finding the Third Proportional to 89,629 and 195,061

Step by Step Solution

1. Step 1: Write the proportion equation
   89,629 : 195,061 = 195,061 : x
2. Step 2: Convert to fraction form
   89,629/195,061 = 195,061/x
3. Step 3: Cross multiply
   89,629x = 195,061 × 195,061
4. Step 4: Simplify right side
   89,629x = 38,048,793,721
5. Step 5: Solve for x
   x = 38,048,793,721/89,629
6. Step 6: Final answer
   x = 424,514.32