Finding the Third Proportional to 97.31 and 256.03

Step by Step Solution

1. Step 1: Write the proportion equation
   97.31 : 256.03 = 256.03 : x
2. Step 2: Convert to fraction form
   97.31/256.03 = 256.03/x
3. Step 3: Cross multiply
   97.31x = 256.03 × 256.03
4. Step 4: Simplify right side
   97.31x = 65,552.00
5. Step 5: Solve for x
   x = 65,552.00/97.31
6. Step 6: Final answer
   x = 673.62