Finding the Third Proportional to 213,465 and 321,604.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,465 : 321,604.50 = 321,604.50 : x
2. Step 2: Convert to fraction form
   213,465/321,604.50 = 321,604.50/x
3. Step 3: Cross multiply
   213,465x = 321,604.50 × 321,604.50
4. Step 4: Simplify right side
   213,465x = 103,429,454,420.25
5. Step 5: Solve for x
   x = 103,429,454,420.25/213,465
6. Step 6: Final answer
   x = 484,526.52