Finding the Third Proportional to 257.34 and 348.89

Step by Step Solution

1. Step 1: Write the proportion equation
   257.34 : 348.89 = 348.89 : x
2. Step 2: Convert to fraction form
   257.34/348.89 = 348.89/x
3. Step 3: Cross multiply
   257.34x = 348.89 × 348.89
4. Step 4: Simplify right side
   257.34x = 121,724.67
5. Step 5: Solve for x
   x = 121,724.67/257.34
6. Step 6: Final answer
   x = 473.00