Finding the Third Proportional to 105,188 and 228,520

Step by Step Solution

1. Step 1: Write the proportion equation
   105,188 : 228,520 = 228,520 : x
2. Step 2: Convert to fraction form
   105,188/228,520 = 228,520/x
3. Step 3: Cross multiply
   105,188x = 228,520 × 228,520
4. Step 4: Simplify right side
   105,188x = 52,221,390,400
5. Step 5: Solve for x
   x = 52,221,390,400/105,188
6. Step 6: Final answer
   x = 496,457.68