Finding the Third Proportional to 216,675 and 323,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,675 : 323,200.50 = 323,200.50 : x
2. Step 2: Convert to fraction form
   216,675/323,200.50 = 323,200.50/x
3. Step 3: Cross multiply
   216,675x = 323,200.50 × 323,200.50
4. Step 4: Simplify right side
   216,675x = 104,458,563,200.25
5. Step 5: Solve for x
   x = 104,458,563,200.25/216,675
6. Step 6: Final answer
   x = 482,097.90