Finding the Third Proportional to 200.06 and 288.38

Step by Step Solution

1. Step 1: Write the proportion equation
   200.06 : 288.38 = 288.38 : x
2. Step 2: Convert to fraction form
   200.06/288.38 = 288.38/x
3. Step 3: Cross multiply
   200.06x = 288.38 × 288.38
4. Step 4: Simplify right side
   200.06x = 83,160.14
5. Step 5: Solve for x
   x = 83,160.14/200.06
6. Step 6: Final answer
   x = 415.67