Finding the Third Proportional to 348.89 and 510.89

Step by Step Solution

1. Step 1: Write the proportion equation
   348.89 : 510.89 = 510.89 : x
2. Step 2: Convert to fraction form
   348.89/510.89 = 510.89/x
3. Step 3: Cross multiply
   348.89x = 510.89 × 510.89
4. Step 4: Simplify right side
   348.89x = 261,009.23
5. Step 5: Solve for x
   x = 261,009.23/348.89
6. Step 6: Final answer
   x = 748.11