Finding the Third Proportional to 89,894 and 195,644

Step by Step Solution

1. Step 1: Write the proportion equation
   89,894 : 195,644 = 195,644 : x
2. Step 2: Convert to fraction form
   89,894/195,644 = 195,644/x
3. Step 3: Cross multiply
   89,894x = 195,644 × 195,644
4. Step 4: Simplify right side
   89,894x = 38,276,574,736
5. Step 5: Solve for x
   x = 38,276,574,736/89,894
6. Step 6: Final answer
   x = 425,796.77