Finding the Third Proportional to 105,412 and 228,320

Step by Step Solution

1. Step 1: Write the proportion equation
   105,412 : 228,320 = 228,320 : x
2. Step 2: Convert to fraction form
   105,412/228,320 = 228,320/x
3. Step 3: Cross multiply
   105,412x = 228,320 × 228,320
4. Step 4: Simplify right side
   105,412x = 52,130,022,400
5. Step 5: Solve for x
   x = 52,130,022,400/105,412
6. Step 6: Final answer
   x = 494,535.94