Finding the Third Proportional to 49,858 and 108,464

Step by Step Solution

1. Step 1: Write the proportion equation
   49,858 : 108,464 = 108,464 : x
2. Step 2: Convert to fraction form
   49,858/108,464 = 108,464/x
3. Step 3: Cross multiply
   49,858x = 108,464 × 108,464
4. Step 4: Simplify right side
   49,858x = 11,764,439,296
5. Step 5: Solve for x
   x = 11,764,439,296/49,858
6. Step 6: Final answer
   x = 235,958.91