Finding the Third Proportional to 208.50 and 322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208.50 : 322.50 = 322.50 : x
2. Step 2: Convert to fraction form
   208.50/322.50 = 322.50/x
3. Step 3: Cross multiply
   208.50x = 322.50 × 322.50
4. Step 4: Simplify right side
   208.50x = 104,006.25
5. Step 5: Solve for x
   x = 104,006.25/208.50
6. Step 6: Final answer
   x = 498.83