Finding the Third Proportional to 219,144 and 328,714

Step by Step Solution

1. Step 1: Write the proportion equation
   219,144 : 328,714 = 328,714 : x
2. Step 2: Convert to fraction form
   219,144/328,714 = 328,714/x
3. Step 3: Cross multiply
   219,144x = 328,714 × 328,714
4. Step 4: Simplify right side
   219,144x = 108,052,893,796
5. Step 5: Solve for x
   x = 108,052,893,796/219,144
6. Step 6: Final answer
   x = 493,068.00