Finding the Third Proportional to 89,847 and 195,630

Step by Step Solution

1. Step 1: Write the proportion equation
   89,847 : 195,630 = 195,630 : x
2. Step 2: Convert to fraction form
   89,847/195,630 = 195,630/x
3. Step 3: Cross multiply
   89,847x = 195,630 × 195,630
4. Step 4: Simplify right side
   89,847x = 38,271,096,900
5. Step 5: Solve for x
   x = 38,271,096,900/89,847
6. Step 6: Final answer
   x = 425,958.54