Finding the Third Proportional to 89,859 and 195,654

Step by Step Solution

1. Step 1: Write the proportion equation
   89,859 : 195,654 = 195,654 : x
2. Step 2: Convert to fraction form
   89,859/195,654 = 195,654/x
3. Step 3: Cross multiply
   89,859x = 195,654 × 195,654
4. Step 4: Simplify right side
   89,859x = 38,280,487,716
5. Step 5: Solve for x
   x = 38,280,487,716/89,859
6. Step 6: Final answer
   x = 426,006.16