Finding the Third Proportional to 105,315 and 227,490

Step by Step Solution

1. Step 1: Write the proportion equation
   105,315 : 227,490 = 227,490 : x
2. Step 2: Convert to fraction form
   105,315/227,490 = 227,490/x
3. Step 3: Cross multiply
   105,315x = 227,490 × 227,490
4. Step 4: Simplify right side
   105,315x = 51,751,700,100
5. Step 5: Solve for x
   x = 51,751,700,100/105,315
6. Step 6: Final answer
   x = 491,399.14