Finding the Third Proportional to 103,688 and 222,856

Step by Step Solution

1. Step 1: Write the proportion equation
   103,688 : 222,856 = 222,856 : x
2. Step 2: Convert to fraction form
   103,688/222,856 = 222,856/x
3. Step 3: Cross multiply
   103,688x = 222,856 × 222,856
4. Step 4: Simplify right side
   103,688x = 49,664,796,736
5. Step 5: Solve for x
   x = 49,664,796,736/103,688
6. Step 6: Final answer
   x = 478,983.07