Finding the Third Proportional to 105,165 and 228,168

Step by Step Solution

1. Step 1: Write the proportion equation
   105,165 : 228,168 = 228,168 : x
2. Step 2: Convert to fraction form
   105,165/228,168 = 228,168/x
3. Step 3: Cross multiply
   105,165x = 228,168 × 228,168
4. Step 4: Simplify right side
   105,165x = 52,060,636,224
5. Step 5: Solve for x
   x = 52,060,636,224/105,165
6. Step 6: Final answer
   x = 495,037.67