Finding the Third Proportional to 213,840 and 298,960.88

Step by Step Solution

1. Step 1: Write the proportion equation
   213,840 : 298,960.88 = 298,960.88 : x
2. Step 2: Convert to fraction form
   213,840/298,960.88 = 298,960.88/x
3. Step 3: Cross multiply
   213,840x = 298,960.88 × 298,960.88
4. Step 4: Simplify right side
   213,840x = 89,377,604,780.77
5. Step 5: Solve for x
   x = 89,377,604,780.77/213,840
6. Step 6: Final answer
   x = 417,964.86