Finding the Third Proportional to 510.33 and 949.78

Step by Step Solution

1. Step 1: Write the proportion equation
   510.33 : 949.78 = 949.78 : x
2. Step 2: Convert to fraction form
   510.33/949.78 = 949.78/x
3. Step 3: Cross multiply
   510.33x = 949.78 × 949.78
4. Step 4: Simplify right side
   510.33x = 902,084.42
5. Step 5: Solve for x
   x = 902,084.42/510.33
6. Step 6: Final answer
   x = 1,767.66