Finding the Third Proportional to 105,372 and 228,204

Step by Step Solution

1. Step 1: Write the proportion equation
   105,372 : 228,204 = 228,204 : x
2. Step 2: Convert to fraction form
   105,372/228,204 = 228,204/x
3. Step 3: Cross multiply
   105,372x = 228,204 × 228,204
4. Step 4: Simplify right side
   105,372x = 52,077,065,616
5. Step 5: Solve for x
   x = 52,077,065,616/105,372
6. Step 6: Final answer
   x = 494,221.10