Finding the Third Proportional to 105,363 and 228,582

Step by Step Solution

1. Step 1: Write the proportion equation
   105,363 : 228,582 = 228,582 : x
2. Step 2: Convert to fraction form
   105,363/228,582 = 228,582/x
3. Step 3: Cross multiply
   105,363x = 228,582 × 228,582
4. Step 4: Simplify right side
   105,363x = 52,249,730,724
5. Step 5: Solve for x
   x = 52,249,730,724/105,363
6. Step 6: Final answer
   x = 495,902.08