Finding the Third Proportional to 103,657 and 222,055

Step by Step Solution

1. Step 1: Write the proportion equation
   103,657 : 222,055 = 222,055 : x
2. Step 2: Convert to fraction form
   103,657/222,055 = 222,055/x
3. Step 3: Cross multiply
   103,657x = 222,055 × 222,055
4. Step 4: Simplify right side
   103,657x = 49,308,423,025
5. Step 5: Solve for x
   x = 49,308,423,025/103,657
6. Step 6: Final answer
   x = 475,688.31