Finding the Third Proportional to 202.17 and 288.89

Step by Step Solution

1. Step 1: Write the proportion equation
   202.17 : 288.89 = 288.89 : x
2. Step 2: Convert to fraction form
   202.17/288.89 = 288.89/x
3. Step 3: Cross multiply
   202.17x = 288.89 × 288.89
4. Step 4: Simplify right side
   202.17x = 83,457.79
5. Step 5: Solve for x
   x = 83,457.79/202.17
6. Step 6: Final answer
   x = 412.81