Finding the Third Proportional to 89,627 and 195,059

Step by Step Solution

1. Step 1: Write the proportion equation
   89,627 : 195,059 = 195,059 : x
2. Step 2: Convert to fraction form
   89,627/195,059 = 195,059/x
3. Step 3: Cross multiply
   89,627x = 195,059 × 195,059
4. Step 4: Simplify right side
   89,627x = 38,048,013,481
5. Step 5: Solve for x
   x = 38,048,013,481/89,627
6. Step 6: Final answer
   x = 424,515.08