Finding the Third Proportional to 105,738 and 228,900

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738 : 228,900 = 228,900 : x
2. Step 2: Convert to fraction form
   105,738/228,900 = 228,900/x
3. Step 3: Cross multiply
   105,738x = 228,900 × 228,900
4. Step 4: Simplify right side
   105,738x = 52,395,210,000
5. Step 5: Solve for x
   x = 52,395,210,000/105,738
6. Step 6: Final answer
   x = 495,519.21