Finding the Third Proportional to 61.78 and 114.28

Step by Step Solution

1. Step 1: Write the proportion equation
   61.78 : 114.28 = 114.28 : x
2. Step 2: Convert to fraction form
   61.78/114.28 = 114.28/x
3. Step 3: Cross multiply
   61.78x = 114.28 × 114.28
4. Step 4: Simplify right side
   61.78x = 13,060.20
5. Step 5: Solve for x
   x = 13,060.20/61.78
6. Step 6: Final answer
   x = 211.39