Finding the Third Proportional to 89,680.50 and 196,854.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,680.50 : 196,854.75 = 196,854.75 : x
2. Step 2: Convert to fraction form
   89,680.50/196,854.75 = 196,854.75/x
3. Step 3: Cross multiply
   89,680.50x = 196,854.75 × 196,854.75
4. Step 4: Simplify right side
   89,680.50x = 38,751,792,597.56
5. Step 5: Solve for x
   x = 38,751,792,597.56/89,680.50
6. Step 6: Final answer
   x = 432,109.46