Finding the Third Proportional to 103,688 and 222,118

Step by Step Solution

1. Step 1: Write the proportion equation
   103,688 : 222,118 = 222,118 : x
2. Step 2: Convert to fraction form
   103,688/222,118 = 222,118/x
3. Step 3: Cross multiply
   103,688x = 222,118 × 222,118
4. Step 4: Simplify right side
   103,688x = 49,336,405,924
5. Step 5: Solve for x
   x = 49,336,405,924/103,688
6. Step 6: Final answer
   x = 475,815.97