Finding the Third Proportional to 219,196 and 321,880

Step by Step Solution

1. Step 1: Write the proportion equation
   219,196 : 321,880 = 321,880 : x
2. Step 2: Convert to fraction form
   219,196/321,880 = 321,880/x
3. Step 3: Cross multiply
   219,196x = 321,880 × 321,880
4. Step 4: Simplify right side
   219,196x = 103,606,734,400
5. Step 5: Solve for x
   x = 103,606,734,400/219,196
6. Step 6: Final answer
   x = 472,667.09