Finding the Third Proportional to 103,686 and 222,108

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 222,108 = 222,108 : x
2. Step 2: Convert to fraction form
   103,686/222,108 = 222,108/x
3. Step 3: Cross multiply
   103,686x = 222,108 × 222,108
4. Step 4: Simplify right side
   103,686x = 49,331,963,664
5. Step 5: Solve for x
   x = 49,331,963,664/103,686
6. Step 6: Final answer
   x = 475,782.30