Finding the Third Proportional to 103,658 and 222,052

Step by Step Solution

1. Step 1: Write the proportion equation
   103,658 : 222,052 = 222,052 : x
2. Step 2: Convert to fraction form
   103,658/222,052 = 222,052/x
3. Step 3: Cross multiply
   103,658x = 222,052 × 222,052
4. Step 4: Simplify right side
   103,658x = 49,307,090,704
5. Step 5: Solve for x
   x = 49,307,090,704/103,658
6. Step 6: Final answer
   x = 475,670.87