Finding the Third Proportional to 105,309 and 228,492

Step by Step Solution

1. Step 1: Write the proportion equation
   105,309 : 228,492 = 228,492 : x
2. Step 2: Convert to fraction form
   105,309/228,492 = 228,492/x
3. Step 3: Cross multiply
   105,309x = 228,492 × 228,492
4. Step 4: Simplify right side
   105,309x = 52,208,594,064
5. Step 5: Solve for x
   x = 52,208,594,064/105,309
6. Step 6: Final answer
   x = 495,765.74