Finding the Third Proportional to 118.94 and 253.06

Step by Step Solution

1. Step 1: Write the proportion equation
   118.94 : 253.06 = 253.06 : x
2. Step 2: Convert to fraction form
   118.94/253.06 = 253.06/x
3. Step 3: Cross multiply
   118.94x = 253.06 × 253.06
4. Step 4: Simplify right side
   118.94x = 64,040.63
5. Step 5: Solve for x
   x = 64,040.63/118.94
6. Step 6: Final answer
   x = 538.44