Finding the Third Proportional to 89,397 and 195,864

Step by Step Solution

1. Step 1: Write the proportion equation
   89,397 : 195,864 = 195,864 : x
2. Step 2: Convert to fraction form
   89,397/195,864 = 195,864/x
3. Step 3: Cross multiply
   89,397x = 195,864 × 195,864
4. Step 4: Simplify right side
   89,397x = 38,362,706,496
5. Step 5: Solve for x
   x = 38,362,706,496/89,397
6. Step 6: Final answer
   x = 429,127.45