Finding the Third Proportional to 105.50 and 242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 242.50 = 242.50 : x
2. Step 2: Convert to fraction form
   105.50/242.50 = 242.50/x
3. Step 3: Cross multiply
   105.50x = 242.50 × 242.50
4. Step 4: Simplify right side
   105.50x = 58,806.25
5. Step 5: Solve for x
   x = 58,806.25/105.50
6. Step 6: Final answer
   x = 557.41