Finding the Third Proportional to 259.31 and 342.56

Step by Step Solution

1. Step 1: Write the proportion equation
   259.31 : 342.56 = 342.56 : x
2. Step 2: Convert to fraction form
   259.31/342.56 = 342.56/x
3. Step 3: Cross multiply
   259.31x = 342.56 × 342.56
4. Step 4: Simplify right side
   259.31x = 117,349.07
5. Step 5: Solve for x
   x = 117,349.07/259.31
6. Step 6: Final answer
   x = 452.54