Finding the Third Proportional to 219,200 and 321,886

Step by Step Solution

1. Step 1: Write the proportion equation
   219,200 : 321,886 = 321,886 : x
2. Step 2: Convert to fraction form
   219,200/321,886 = 321,886/x
3. Step 3: Cross multiply
   219,200x = 321,886 × 321,886
4. Step 4: Simplify right side
   219,200x = 103,610,596,996
5. Step 5: Solve for x
   x = 103,610,596,996/219,200
6. Step 6: Final answer
   x = 472,676.08