Finding the Third Proportional to 45.56 and 101.16

Step by Step Solution

1. Step 1: Write the proportion equation
   45.56 : 101.16 = 101.16 : x
2. Step 2: Convert to fraction form
   45.56/101.16 = 101.16/x
3. Step 3: Cross multiply
   45.56x = 101.16 × 101.16
4. Step 4: Simplify right side
   45.56x = 10,232.59
5. Step 5: Solve for x
   x = 10,232.59/45.56
6. Step 6: Final answer
   x = 224.58