Finding the Third Proportional to 111.38 and 242.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 242.06 = 242.06 : x
2. Step 2: Convert to fraction form
   111.38/242.06 = 242.06/x
3. Step 3: Cross multiply
   111.38x = 242.06 × 242.06
4. Step 4: Simplify right side
   111.38x = 58,594.25
5. Step 5: Solve for x
   x = 58,594.25/111.38
6. Step 6: Final answer
   x = 526.10