Finding the Third Proportional to 100.13 and 255.94

Step by Step Solution

1. Step 1: Write the proportion equation
   100.13 : 255.94 = 255.94 : x
2. Step 2: Convert to fraction form
   100.13/255.94 = 255.94/x
3. Step 3: Cross multiply
   100.13x = 255.94 × 255.94
4. Step 4: Simplify right side
   100.13x = 65,504.00
5. Step 5: Solve for x
   x = 65,504.00/100.13
6. Step 6: Final answer
   x = 654.22