Finding the Third Proportional to 111.38 and 149.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 149.06 = 149.06 : x
2. Step 2: Convert to fraction form
   111.38/149.06 = 149.06/x
3. Step 3: Cross multiply
   111.38x = 149.06 × 149.06
4. Step 4: Simplify right side
   111.38x = 22,219.63
5. Step 5: Solve for x
   x = 22,219.63/111.38
6. Step 6: Final answer
   x = 199.50