Finding the Third Proportional to 89,260 and 195,770

Step by Step Solution

1. Step 1: Write the proportion equation
   89,260 : 195,770 = 195,770 : x
2. Step 2: Convert to fraction form
   89,260/195,770 = 195,770/x
3. Step 3: Cross multiply
   89,260x = 195,770 × 195,770
4. Step 4: Simplify right side
   89,260x = 38,325,892,900
5. Step 5: Solve for x
   x = 38,325,892,900/89,260
6. Step 6: Final answer
   x = 429,373.66