Finding the Third Proportional to 112.69 and 242.25

Step by Step Solution

1. Step 1: Write the proportion equation
   112.69 : 242.25 = 242.25 : x
2. Step 2: Convert to fraction form
   112.69/242.25 = 242.25/x
3. Step 3: Cross multiply
   112.69x = 242.25 × 242.25
4. Step 4: Simplify right side
   112.69x = 58,685.06
5. Step 5: Solve for x
   x = 58,685.06/112.69
6. Step 6: Final answer
   x = 520.78