Finding the Third Proportional to 89,135 and 195,768

Step by Step Solution

1. Step 1: Write the proportion equation
   89,135 : 195,768 = 195,768 : x
2. Step 2: Convert to fraction form
   89,135/195,768 = 195,768/x
3. Step 3: Cross multiply
   89,135x = 195,768 × 195,768
4. Step 4: Simplify right side
   89,135x = 38,325,109,824
5. Step 5: Solve for x
   x = 38,325,109,824/89,135
6. Step 6: Final answer
   x = 429,967.01