Finding the Third Proportional to 213,662.25 and 499,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,662.25 : 499,162.50 = 499,162.50 : x
2. Step 2: Convert to fraction form
   213,662.25/499,162.50 = 499,162.50/x
3. Step 3: Cross multiply
   213,662.25x = 499,162.50 × 499,162.50
4. Step 4: Simplify right side
   213,662.25x = 249,163,201,406.25
5. Step 5: Solve for x
   x = 249,163,201,406.25/213,662.25
6. Step 6: Final answer
   x = 1,166,154.53