Finding the Third Proportional to 140.06 and 306.56

Step by Step Solution

1. Step 1: Write the proportion equation
   140.06 : 306.56 = 306.56 : x
2. Step 2: Convert to fraction form
   140.06/306.56 = 306.56/x
3. Step 3: Cross multiply
   140.06x = 306.56 × 306.56
4. Step 4: Simplify right side
   140.06x = 93,980.57
5. Step 5: Solve for x
   x = 93,980.57/140.06
6. Step 6: Final answer
   x = 670.99