Finding the Third Proportional to 202.50 and 322.59

Step by Step Solution

1. Step 1: Write the proportion equation
   202.50 : 322.59 = 322.59 : x
2. Step 2: Convert to fraction form
   202.50/322.59 = 322.59/x
3. Step 3: Cross multiply
   202.50x = 322.59 × 322.59
4. Step 4: Simplify right side
   202.50x = 104,066.73
5. Step 5: Solve for x
   x = 104,066.73/202.50
6. Step 6: Final answer
   x = 513.91