Finding the Third Proportional to 348.89 and 521.72

Step by Step Solution

1. Step 1: Write the proportion equation
   348.89 : 521.72 = 521.72 : x
2. Step 2: Convert to fraction form
   348.89/521.72 = 521.72/x
3. Step 3: Cross multiply
   348.89x = 521.72 × 521.72
4. Step 4: Simplify right side
   348.89x = 272,190.45
5. Step 5: Solve for x
   x = 272,190.45/348.89
6. Step 6: Final answer
   x = 780.16