Finding the Third Proportional to 344 and 510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   344 : 510.50 = 510.50 : x
2. Step 2: Convert to fraction form
   344/510.50 = 510.50/x
3. Step 3: Cross multiply
   344x = 510.50 × 510.50
4. Step 4: Simplify right side
   344x = 260,610.25
5. Step 5: Solve for x
   x = 260,610.25/344
6. Step 6: Final answer
   x = 757.59