Finding the Third Proportional to 140.06 and 289.83

Step by Step Solution

1. Step 1: Write the proportion equation
   140.06 : 289.83 = 289.83 : x
2. Step 2: Convert to fraction form
   140.06/289.83 = 289.83/x
3. Step 3: Cross multiply
   140.06x = 289.83 × 289.83
4. Step 4: Simplify right side
   140.06x = 84,000.34
5. Step 5: Solve for x
   x = 84,000.34/140.06
6. Step 6: Final answer
   x = 599.73