Finding the Third Proportional to 100,636.25 and 205,642

Step by Step Solution

1. Step 1: Write the proportion equation
   100,636.25 : 205,642 = 205,642 : x
2. Step 2: Convert to fraction form
   100,636.25/205,642 = 205,642/x
3. Step 3: Cross multiply
   100,636.25x = 205,642 × 205,642
4. Step 4: Simplify right side
   100,636.25x = 42,288,632,164
5. Step 5: Solve for x
   x = 42,288,632,164/100,636.25
6. Step 6: Final answer
   x = 420,212.72