Finding the Third Proportional to 49,858 and 105,709

Step by Step Solution

1. Step 1: Write the proportion equation
   49,858 : 105,709 = 105,709 : x
2. Step 2: Convert to fraction form
   49,858/105,709 = 105,709/x
3. Step 3: Cross multiply
   49,858x = 105,709 × 105,709
4. Step 4: Simplify right side
   49,858x = 11,174,392,681
5. Step 5: Solve for x
   x = 11,174,392,681/49,858
6. Step 6: Final answer
   x = 224,124.37