Finding the Third Proportional to 133.50 and 287.06

Step by Step Solution

1. Step 1: Write the proportion equation
   133.50 : 287.06 = 287.06 : x
2. Step 2: Convert to fraction form
   133.50/287.06 = 287.06/x
3. Step 3: Cross multiply
   133.50x = 287.06 × 287.06
4. Step 4: Simplify right side
   133.50x = 82,404.88
5. Step 5: Solve for x
   x = 82,404.88/133.50
6. Step 6: Final answer
   x = 617.27