Finding the Third Proportional to 105,363 and 228,222

Step by Step Solution

1. Step 1: Write the proportion equation
   105,363 : 228,222 = 228,222 : x
2. Step 2: Convert to fraction form
   105,363/228,222 = 228,222/x
3. Step 3: Cross multiply
   105,363x = 228,222 × 228,222
4. Step 4: Simplify right side
   105,363x = 52,085,281,284
5. Step 5: Solve for x
   x = 52,085,281,284/105,363
6. Step 6: Final answer
   x = 494,341.29