Finding the Third Proportional to 105,324 and 228,144

Step by Step Solution

1. Step 1: Write the proportion equation
   105,324 : 228,144 = 228,144 : x
2. Step 2: Convert to fraction form
   105,324/228,144 = 228,144/x
3. Step 3: Cross multiply
   105,324x = 228,144 × 228,144
4. Step 4: Simplify right side
   105,324x = 52,049,684,736
5. Step 5: Solve for x
   x = 52,049,684,736/105,324
6. Step 6: Final answer
   x = 494,186.37