Finding the Third Proportional to 89,304 and 196,780

Step by Step Solution

1. Step 1: Write the proportion equation
   89,304 : 196,780 = 196,780 : x
2. Step 2: Convert to fraction form
   89,304/196,780 = 196,780/x
3. Step 3: Cross multiply
   89,304x = 196,780 × 196,780
4. Step 4: Simplify right side
   89,304x = 38,722,368,400
5. Step 5: Solve for x
   x = 38,722,368,400/89,304
6. Step 6: Final answer
   x = 433,601.72