Finding the Third Proportional to 210,768 and 321,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,768 : 321,404.50 = 321,404.50 : x
2. Step 2: Convert to fraction form
   210,768/321,404.50 = 321,404.50/x
3. Step 3: Cross multiply
   210,768x = 321,404.50 × 321,404.50
4. Step 4: Simplify right side
   210,768x = 103,300,852,620.25
5. Step 5: Solve for x
   x = 103,300,852,620.25/210,768
6. Step 6: Final answer
   x = 490,116.40