Finding the Third Proportional to 49,386 and 105,684

Step by Step Solution

1. Step 1: Write the proportion equation
   49,386 : 105,684 = 105,684 : x
2. Step 2: Convert to fraction form
   49,386/105,684 = 105,684/x
3. Step 3: Cross multiply
   49,386x = 105,684 × 105,684
4. Step 4: Simplify right side
   49,386x = 11,169,107,856
5. Step 5: Solve for x
   x = 11,169,107,856/49,386
6. Step 6: Final answer
   x = 226,159.39