Finding the Third Proportional to 510.25 and 787.25

Step by Step Solution

1. Step 1: Write the proportion equation
   510.25 : 787.25 = 787.25 : x
2. Step 2: Convert to fraction form
   510.25/787.25 = 787.25/x
3. Step 3: Cross multiply
   510.25x = 787.25 × 787.25
4. Step 4: Simplify right side
   510.25x = 619,762.56
5. Step 5: Solve for x
   x = 619,762.56/510.25
6. Step 6: Final answer
   x = 1,214.63