Finding the Third Proportional to 103,666 and 222,068

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 222,068 = 222,068 : x
2. Step 2: Convert to fraction form
   103,666/222,068 = 222,068/x
3. Step 3: Cross multiply
   103,666x = 222,068 × 222,068
4. Step 4: Simplify right side
   103,666x = 49,314,196,624
5. Step 5: Solve for x
   x = 49,314,196,624/103,666
6. Step 6: Final answer
   x = 475,702.71