Finding the Third Proportional to 105,528 and 224,895

Step by Step Solution

1. Step 1: Write the proportion equation
   105,528 : 224,895 = 224,895 : x
2. Step 2: Convert to fraction form
   105,528/224,895 = 224,895/x
3. Step 3: Cross multiply
   105,528x = 224,895 × 224,895
4. Step 4: Simplify right side
   105,528x = 50,577,761,025
5. Step 5: Solve for x
   x = 50,577,761,025/105,528
6. Step 6: Final answer
   x = 479,282.85