Finding the Third Proportional to 213,421 and 321,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,421 : 321,538.50 = 321,538.50 : x
2. Step 2: Convert to fraction form
   213,421/321,538.50 = 321,538.50/x
3. Step 3: Cross multiply
   213,421x = 321,538.50 × 321,538.50
4. Step 4: Simplify right side
   213,421x = 103,387,006,982.25
5. Step 5: Solve for x
   x = 103,387,006,982.25/213,421
6. Step 6: Final answer
   x = 484,427.53