Finding the Third Proportional to 49,914 and 107,172

Step by Step Solution

1. Step 1: Write the proportion equation
   49,914 : 107,172 = 107,172 : x
2. Step 2: Convert to fraction form
   49,914/107,172 = 107,172/x
3. Step 3: Cross multiply
   49,914x = 107,172 × 107,172
4. Step 4: Simplify right side
   49,914x = 11,485,837,584
5. Step 5: Solve for x
   x = 11,485,837,584/49,914
6. Step 6: Final answer
   x = 230,112.55