Finding the Third Proportional to 103,686 and 222,532

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 222,532 = 222,532 : x
2. Step 2: Convert to fraction form
   103,686/222,532 = 222,532/x
3. Step 3: Cross multiply
   103,686x = 222,532 × 222,532
4. Step 4: Simplify right side
   103,686x = 49,520,491,024
5. Step 5: Solve for x
   x = 49,520,491,024/103,686
6. Step 6: Final answer
   x = 477,600.55