Finding the Third Proportional to 106,436 and 228,364

Step by Step Solution

1. Step 1: Write the proportion equation
   106,436 : 228,364 = 228,364 : x
2. Step 2: Convert to fraction form
   106,436/228,364 = 228,364/x
3. Step 3: Cross multiply
   106,436x = 228,364 × 228,364
4. Step 4: Simplify right side
   106,436x = 52,150,116,496
5. Step 5: Solve for x
   x = 52,150,116,496/106,436
6. Step 6: Final answer
   x = 489,966.90