Finding the Third Proportional to 510.05 and 751.78

Step by Step Solution

1. Step 1: Write the proportion equation
   510.05 : 751.78 = 751.78 : x
2. Step 2: Convert to fraction form
   510.05/751.78 = 751.78/x
3. Step 3: Cross multiply
   510.05x = 751.78 × 751.78
4. Step 4: Simplify right side
   510.05x = 565,175.05
5. Step 5: Solve for x
   x = 565,175.05/510.05
6. Step 6: Final answer
   x = 1,108.08