Finding the Third Proportional to 89,578 and 195,532

Step by Step Solution

1. Step 1: Write the proportion equation
   89,578 : 195,532 = 195,532 : x
2. Step 2: Convert to fraction form
   89,578/195,532 = 195,532/x
3. Step 3: Cross multiply
   89,578x = 195,532 × 195,532
4. Step 4: Simplify right side
   89,578x = 38,232,763,024
5. Step 5: Solve for x
   x = 38,232,763,024/89,578
6. Step 6: Final answer
   x = 426,809.74