Finding the Third Proportional to 100.83 and 205.45

Step by Step Solution

1. Step 1: Write the proportion equation
   100.83 : 205.45 = 205.45 : x
2. Step 2: Convert to fraction form
   100.83/205.45 = 205.45/x
3. Step 3: Cross multiply
   100.83x = 205.45 × 205.45
4. Step 4: Simplify right side
   100.83x = 42,210.99
5. Step 5: Solve for x
   x = 42,210.99/100.83
6. Step 6: Final answer
   x = 418.64