Finding the Third Proportional to 213,588 and 454,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,588 : 454,783.50 = 454,783.50 : x
2. Step 2: Convert to fraction form
   213,588/454,783.50 = 454,783.50/x
3. Step 3: Cross multiply
   213,588x = 454,783.50 × 454,783.50
4. Step 4: Simplify right side
   213,588x = 206,828,031,872.25
5. Step 5: Solve for x
   x = 206,828,031,872.25/213,588
6. Step 6: Final answer
   x = 968,350.43