Finding the Third Proportional to 109.94 and 285.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109.94 : 285.25 = 285.25 : x
2. Step 2: Convert to fraction form
   109.94/285.25 = 285.25/x
3. Step 3: Cross multiply
   109.94x = 285.25 × 285.25
4. Step 4: Simplify right side
   109.94x = 81,367.56
5. Step 5: Solve for x
   x = 81,367.56/109.94
6. Step 6: Final answer
   x = 740.13