Finding the Third Proportional to 89,577 and 195,234

Step by Step Solution

1. Step 1: Write the proportion equation
   89,577 : 195,234 = 195,234 : x
2. Step 2: Convert to fraction form
   89,577/195,234 = 195,234/x
3. Step 3: Cross multiply
   89,577x = 195,234 × 195,234
4. Step 4: Simplify right side
   89,577x = 38,116,314,756
5. Step 5: Solve for x
   x = 38,116,314,756/89,577
6. Step 6: Final answer
   x = 425,514.53