Finding the Third Proportional to 510.50 and 648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   510.50 : 648.75 = 648.75 : x
2. Step 2: Convert to fraction form
   510.50/648.75 = 648.75/x
3. Step 3: Cross multiply
   510.50x = 648.75 × 648.75
4. Step 4: Simplify right side
   510.50x = 420,876.56
5. Step 5: Solve for x
   x = 420,876.56/510.50
6. Step 6: Final answer
   x = 824.44