Finding the Third Proportional to 103,665 and 222,069

Step by Step Solution

1. Step 1: Write the proportion equation
   103,665 : 222,069 = 222,069 : x
2. Step 2: Convert to fraction form
   103,665/222,069 = 222,069/x
3. Step 3: Cross multiply
   103,665x = 222,069 × 222,069
4. Step 4: Simplify right side
   103,665x = 49,314,640,761
5. Step 5: Solve for x
   x = 49,314,640,761/103,665
6. Step 6: Final answer
   x = 475,711.58