Finding the Third Proportional to 103,691 and 222,123

Step by Step Solution

1. Step 1: Write the proportion equation
   103,691 : 222,123 = 222,123 : x
2. Step 2: Convert to fraction form
   103,691/222,123 = 222,123/x
3. Step 3: Cross multiply
   103,691x = 222,123 × 222,123
4. Step 4: Simplify right side
   103,691x = 49,338,627,129
5. Step 5: Solve for x
   x = 49,338,627,129/103,691
6. Step 6: Final answer
   x = 475,823.62