Finding the Third Proportional to 213,591 and 454,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,591 : 454,789.50 = 454,789.50 : x
2. Step 2: Convert to fraction form
   213,591/454,789.50 = 454,789.50/x
3. Step 3: Cross multiply
   213,591x = 454,789.50 × 454,789.50
4. Step 4: Simplify right side
   213,591x = 206,833,489,310.25
5. Step 5: Solve for x
   x = 206,833,489,310.25/213,591
6. Step 6: Final answer
   x = 968,362.38