Finding the Third Proportional to 89,402 and 195,872

Step by Step Solution

1. Step 1: Write the proportion equation
   89,402 : 195,872 = 195,872 : x
2. Step 2: Convert to fraction form
   89,402/195,872 = 195,872/x
3. Step 3: Cross multiply
   89,402x = 195,872 × 195,872
4. Step 4: Simplify right side
   89,402x = 38,365,840,384
5. Step 5: Solve for x
   x = 38,365,840,384/89,402
6. Step 6: Final answer
   x = 429,138.50