Finding the Third Proportional to 103.15 and 160.00

Step by Step Solution

1. Step 1: Write the proportion equation
   103.15 : 160.00 = 160.00 : x
2. Step 2: Convert to fraction form
   103.15/160.00 = 160.00/x
3. Step 3: Cross multiply
   103.15x = 160.00 × 160.00
4. Step 4: Simplify right side
   103.15x = 25,598.75
5. Step 5: Solve for x
   x = 25,598.75/103.15
6. Step 6: Final answer
   x = 248.17