Finding the Third Proportional to 89,756 and 196,920

Step by Step Solution

1. Step 1: Write the proportion equation
   89,756 : 196,920 = 196,920 : x
2. Step 2: Convert to fraction form
   89,756/196,920 = 196,920/x
3. Step 3: Cross multiply
   89,756x = 196,920 × 196,920
4. Step 4: Simplify right side
   89,756x = 38,777,486,400
5. Step 5: Solve for x
   x = 38,777,486,400/89,756
6. Step 6: Final answer
   x = 432,032.25