Finding the Third Proportional to 89,744 and 196,896

Step by Step Solution

1. Step 1: Write the proportion equation
   89,744 : 196,896 = 196,896 : x
2. Step 2: Convert to fraction form
   89,744/196,896 = 196,896/x
3. Step 3: Cross multiply
   89,744x = 196,896 × 196,896
4. Step 4: Simplify right side
   89,744x = 38,768,034,816
5. Step 5: Solve for x
   x = 38,768,034,816/89,744
6. Step 6: Final answer
   x = 431,984.70