Finding the Third Proportional to 89,654 and 195,078

Step by Step Solution

1. Step 1: Write the proportion equation
   89,654 : 195,078 = 195,078 : x
2. Step 2: Convert to fraction form
   89,654/195,078 = 195,078/x
3. Step 3: Cross multiply
   89,654x = 195,078 × 195,078
4. Step 4: Simplify right side
   89,654x = 38,055,426,084
5. Step 5: Solve for x
   x = 38,055,426,084/89,654
6. Step 6: Final answer
   x = 424,469.92