Finding the Third Proportional to 119.60 and 264.83

Step by Step Solution

1. Step 1: Write the proportion equation
   119.60 : 264.83 = 264.83 : x
2. Step 2: Convert to fraction form
   119.60/264.83 = 264.83/x
3. Step 3: Cross multiply
   119.60x = 264.83 × 264.83
4. Step 4: Simplify right side
   119.60x = 70,136.00
5. Step 5: Solve for x
   x = 70,136.00/119.60
6. Step 6: Final answer
   x = 586.41