Finding the Third Proportional to 89,514 and 195,006

Step by Step Solution

1. Step 1: Write the proportion equation
   89,514 : 195,006 = 195,006 : x
2. Step 2: Convert to fraction form
   89,514/195,006 = 195,006/x
3. Step 3: Cross multiply
   89,514x = 195,006 × 195,006
4. Step 4: Simplify right side
   89,514x = 38,027,340,036
5. Step 5: Solve for x
   x = 38,027,340,036/89,514
6. Step 6: Final answer
   x = 424,820.03