Finding the Third Proportional to 100.75 and 218.63

Step by Step Solution

1. Step 1: Write the proportion equation
   100.75 : 218.63 = 218.63 : x
2. Step 2: Convert to fraction form
   100.75/218.63 = 218.63/x
3. Step 3: Cross multiply
   100.75x = 218.63 × 218.63
4. Step 4: Simplify right side
   100.75x = 47,796.89
5. Step 5: Solve for x
   x = 47,796.89/100.75
6. Step 6: Final answer
   x = 474.41