Finding the Third Proportional to 105,528 and 224,784

Step by Step Solution

1. Step 1: Write the proportion equation
   105,528 : 224,784 = 224,784 : x
2. Step 2: Convert to fraction form
   105,528/224,784 = 224,784/x
3. Step 3: Cross multiply
   105,528x = 224,784 × 224,784
4. Step 4: Simplify right side
   105,528x = 50,527,846,656
5. Step 5: Solve for x
   x = 50,527,846,656/105,528
6. Step 6: Final answer
   x = 478,809.86