Finding the Third Proportional to 89,636 and 196,765

Step by Step Solution

1. Step 1: Write the proportion equation
   89,636 : 196,765 = 196,765 : x
2. Step 2: Convert to fraction form
   89,636/196,765 = 196,765/x
3. Step 3: Cross multiply
   89,636x = 196,765 × 196,765
4. Step 4: Simplify right side
   89,636x = 38,716,465,225
5. Step 5: Solve for x
   x = 38,716,465,225/89,636
6. Step 6: Final answer
   x = 431,929.86