Finding the Third Proportional to 100,686 and 219,144

Step by Step Solution

1. Step 1: Write the proportion equation
   100,686 : 219,144 = 219,144 : x
2. Step 2: Convert to fraction form
   100,686/219,144 = 219,144/x
3. Step 3: Cross multiply
   100,686x = 219,144 × 219,144
4. Step 4: Simplify right side
   100,686x = 48,024,092,736
5. Step 5: Solve for x
   x = 48,024,092,736/100,686
6. Step 6: Final answer
   x = 476,968.92