Finding the Third Proportional to 89,544 and 195,064

Step by Step Solution

1. Step 1: Write the proportion equation
   89,544 : 195,064 = 195,064 : x
2. Step 2: Convert to fraction form
   89,544/195,064 = 195,064/x
3. Step 3: Cross multiply
   89,544x = 195,064 × 195,064
4. Step 4: Simplify right side
   89,544x = 38,049,964,096
5. Step 5: Solve for x
   x = 38,049,964,096/89,544
6. Step 6: Final answer
   x = 424,930.36