Finding the Third Proportional to 140 and 204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140 : 204.50 = 204.50 : x
2. Step 2: Convert to fraction form
   140/204.50 = 204.50/x
3. Step 3: Cross multiply
   140x = 204.50 × 204.50
4. Step 4: Simplify right side
   140x = 41,820.25
5. Step 5: Solve for x
   x = 41,820.25/140
6. Step 6: Final answer
   x = 298.72