Finding the Third Proportional to 105,224 and 228,880

Step by Step Solution

1. Step 1: Write the proportion equation
   105,224 : 228,880 = 228,880 : x
2. Step 2: Convert to fraction form
   105,224/228,880 = 228,880/x
3. Step 3: Cross multiply
   105,224x = 228,880 × 228,880
4. Step 4: Simplify right side
   105,224x = 52,386,054,400
5. Step 5: Solve for x
   x = 52,386,054,400/105,224
6. Step 6: Final answer
   x = 497,852.72