Finding the Third Proportional to 45.80 and 100.85

Step by Step Solution

1. Step 1: Write the proportion equation
   45.80 : 100.85 = 100.85 : x
2. Step 2: Convert to fraction form
   45.80/100.85 = 100.85/x
3. Step 3: Cross multiply
   45.80x = 100.85 × 100.85
4. Step 4: Simplify right side
   45.80x = 10,171.63
5. Step 5: Solve for x
   x = 10,171.63/45.80
6. Step 6: Final answer
   x = 222.09