Finding the Third Proportional to 105,494.91 and 224,828.16

Step by Step Solution

1. Step 1: Write the proportion equation
   105,494.91 : 224,828.16 = 224,828.16 : x
2. Step 2: Convert to fraction form
   105,494.91/224,828.16 = 224,828.16/x
3. Step 3: Cross multiply
   105,494.91x = 224,828.16 × 224,828.16
4. Step 4: Simplify right side
   105,494.91x = 50,547,699,842.77
5. Step 5: Solve for x
   x = 50,547,699,842.77/105,494.91
6. Step 6: Final answer
   x = 479,148.25