Finding the Third Proportional to 89,268 and 195,786

Step by Step Solution

1. Step 1: Write the proportion equation
   89,268 : 195,786 = 195,786 : x
2. Step 2: Convert to fraction form
   89,268/195,786 = 195,786/x
3. Step 3: Cross multiply
   89,268x = 195,786 × 195,786
4. Step 4: Simplify right side
   89,268x = 38,332,157,796
5. Step 5: Solve for x
   x = 38,332,157,796/89,268
6. Step 6: Final answer
   x = 429,405.36