Finding the Third Proportional to 89,667 and 196,749

Step by Step Solution

1. Step 1: Write the proportion equation
   89,667 : 196,749 = 196,749 : x
2. Step 2: Convert to fraction form
   89,667/196,749 = 196,749/x
3. Step 3: Cross multiply
   89,667x = 196,749 × 196,749
4. Step 4: Simplify right side
   89,667x = 38,710,169,001
5. Step 5: Solve for x
   x = 38,710,169,001/89,667
6. Step 6: Final answer
   x = 431,710.32