Finding the Third Proportional to 55.78 and 109.03

Step by Step Solution

1. Step 1: Write the proportion equation
   55.78 : 109.03 = 109.03 : x
2. Step 2: Convert to fraction form
   55.78/109.03 = 109.03/x
3. Step 3: Cross multiply
   55.78x = 109.03 × 109.03
4. Step 4: Simplify right side
   55.78x = 11,887.81
5. Step 5: Solve for x
   x = 11,887.81/55.78
6. Step 6: Final answer
   x = 213.11