Finding the Third Proportional to 45.46 and 100.72

Step by Step Solution

1. Step 1: Write the proportion equation
   45.46 : 100.72 = 100.72 : x
2. Step 2: Convert to fraction form
   45.46/100.72 = 100.72/x
3. Step 3: Cross multiply
   45.46x = 100.72 × 100.72
4. Step 4: Simplify right side
   45.46x = 10,145.05
5. Step 5: Solve for x
   x = 10,145.05/45.46
6. Step 6: Final answer
   x = 223.18