Finding the Third Proportional to 89,514 and 195,002

Step by Step Solution

1. Step 1: Write the proportion equation
   89,514 : 195,002 = 195,002 : x
2. Step 2: Convert to fraction form
   89,514/195,002 = 195,002/x
3. Step 3: Cross multiply
   89,514x = 195,002 × 195,002
4. Step 4: Simplify right side
   89,514x = 38,025,780,004
5. Step 5: Solve for x
   x = 38,025,780,004/89,514
6. Step 6: Final answer
   x = 424,802.60