Finding the Third Proportional to 146.06 and 288.75

Step by Step Solution

1. Step 1: Write the proportion equation
   146.06 : 288.75 = 288.75 : x
2. Step 2: Convert to fraction form
   146.06/288.75 = 288.75/x
3. Step 3: Cross multiply
   146.06x = 288.75 × 288.75
4. Step 4: Simplify right side
   146.06x = 83,376.56
5. Step 5: Solve for x
   x = 83,376.56/146.06
6. Step 6: Final answer
   x = 570.83