Finding the Third Proportional to 146.50 and 287.93

Step by Step Solution

1. Step 1: Write the proportion equation
   146.50 : 287.93 = 287.93 : x
2. Step 2: Convert to fraction form
   146.50/287.93 = 287.93/x
3. Step 3: Cross multiply
   146.50x = 287.93 × 287.93
4. Step 4: Simplify right side
   146.50x = 82,903.50
5. Step 5: Solve for x
   x = 82,903.50/146.50
6. Step 6: Final answer
   x = 565.91