Finding the Third Proportional to 105,254 and 228,016

Step by Step Solution

1. Step 1: Write the proportion equation
   105,254 : 228,016 = 228,016 : x
2. Step 2: Convert to fraction form
   105,254/228,016 = 228,016/x
3. Step 3: Cross multiply
   105,254x = 228,016 × 228,016
4. Step 4: Simplify right side
   105,254x = 51,991,296,256
5. Step 5: Solve for x
   x = 51,991,296,256/105,254
6. Step 6: Final answer
   x = 493,960.29