Finding the Third Proportional to 105,186 and 228,516

Step by Step Solution

1. Step 1: Write the proportion equation
   105,186 : 228,516 = 228,516 : x
2. Step 2: Convert to fraction form
   105,186/228,516 = 228,516/x
3. Step 3: Cross multiply
   105,186x = 228,516 × 228,516
4. Step 4: Simplify right side
   105,186x = 52,219,562,256
5. Step 5: Solve for x
   x = 52,219,562,256/105,186
6. Step 6: Final answer
   x = 496,449.74