Finding the Third Proportional to 105,397 and 228,429

Step by Step Solution

1. Step 1: Write the proportion equation
   105,397 : 228,429 = 228,429 : x
2. Step 2: Convert to fraction form
   105,397/228,429 = 228,429/x
3. Step 3: Cross multiply
   105,397x = 228,429 × 228,429
4. Step 4: Simplify right side
   105,397x = 52,179,808,041
5. Step 5: Solve for x
   x = 52,179,808,041/105,397
6. Step 6: Final answer
   x = 495,078.68