Finding the Third Proportional to 103,692 and 222,071

Step by Step Solution

1. Step 1: Write the proportion equation
   103,692 : 222,071 = 222,071 : x
2. Step 2: Convert to fraction form
   103,692/222,071 = 222,071/x
3. Step 3: Cross multiply
   103,692x = 222,071 × 222,071
4. Step 4: Simplify right side
   103,692x = 49,315,529,041
5. Step 5: Solve for x
   x = 49,315,529,041/103,692
6. Step 6: Final answer
   x = 475,596.28