Finding the Third Proportional to 103,560 and 222,696

Step by Step Solution

1. Step 1: Write the proportion equation
   103,560 : 222,696 = 222,696 : x
2. Step 2: Convert to fraction form
   103,560/222,696 = 222,696/x
3. Step 3: Cross multiply
   103,560x = 222,696 × 222,696
4. Step 4: Simplify right side
   103,560x = 49,593,508,416
5. Step 5: Solve for x
   x = 49,593,508,416/103,560
6. Step 6: Final answer
   x = 478,886.72