Finding the Third Proportional to 140.56 and 300.34

Step by Step Solution

1. Step 1: Write the proportion equation
   140.56 : 300.34 = 300.34 : x
2. Step 2: Convert to fraction form
   140.56/300.34 = 300.34/x
3. Step 3: Cross multiply
   140.56x = 300.34 × 300.34
4. Step 4: Simplify right side
   140.56x = 90,203.36
5. Step 5: Solve for x
   x = 90,203.36/140.56
6. Step 6: Final answer
   x = 641.75