Finding the Third Proportional to 288.56 and 346.69

Step by Step Solution

1. Step 1: Write the proportion equation
   288.56 : 346.69 = 346.69 : x
2. Step 2: Convert to fraction form
   288.56/346.69 = 346.69/x
3. Step 3: Cross multiply
   288.56x = 346.69 × 346.69
4. Step 4: Simplify right side
   288.56x = 120,192.22
5. Step 5: Solve for x
   x = 120,192.22/288.56
6. Step 6: Final answer
   x = 416.52