Finding the Third Proportional to 100.50 and 216.13

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 216.13 = 216.13 : x
2. Step 2: Convert to fraction form
   100.50/216.13 = 216.13/x
3. Step 3: Cross multiply
   100.50x = 216.13 × 216.13
4. Step 4: Simplify right side
   100.50x = 46,710.02
5. Step 5: Solve for x
   x = 46,710.02/100.50
6. Step 6: Final answer
   x = 464.78