Finding the Third Proportional to 510 and 622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   510 : 622.50 = 622.50 : x
2. Step 2: Convert to fraction form
   510/622.50 = 622.50/x
3. Step 3: Cross multiply
   510x = 622.50 × 622.50
4. Step 4: Simplify right side
   510x = 387,506.25
5. Step 5: Solve for x
   x = 387,506.25/510
6. Step 6: Final answer
   x = 759.82