Finding the Third Proportional to 105,314 and 225,460

Step by Step Solution

1. Step 1: Write the proportion equation
   105,314 : 225,460 = 225,460 : x
2. Step 2: Convert to fraction form
   105,314/225,460 = 225,460/x
3. Step 3: Cross multiply
   105,314x = 225,460 × 225,460
4. Step 4: Simplify right side
   105,314x = 50,832,211,600
5. Step 5: Solve for x
   x = 50,832,211,600/105,314
6. Step 6: Final answer
   x = 482,672.88