Finding the Third Proportional to 105,288 and 228,072

Step by Step Solution

1. Step 1: Write the proportion equation
   105,288 : 228,072 = 228,072 : x
2. Step 2: Convert to fraction form
   105,288/228,072 = 228,072/x
3. Step 3: Cross multiply
   105,288x = 228,072 × 228,072
4. Step 4: Simplify right side
   105,288x = 52,016,837,184
5. Step 5: Solve for x
   x = 52,016,837,184/105,288
6. Step 6: Final answer
   x = 494,043.36