Finding the Third Proportional to 219,216 and 328,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,216 : 328,822.50 = 328,822.50 : x
2. Step 2: Convert to fraction form
   219,216/328,822.50 = 328,822.50/x
3. Step 3: Cross multiply
   219,216x = 328,822.50 × 328,822.50
4. Step 4: Simplify right side
   219,216x = 108,124,236,506.25
5. Step 5: Solve for x
   x = 108,124,236,506.25/219,216
6. Step 6: Final answer
   x = 493,231.50