Finding the Third Proportional to 49,031 and 105,838

Step by Step Solution

1. Step 1: Write the proportion equation
   49,031 : 105,838 = 105,838 : x
2. Step 2: Convert to fraction form
   49,031/105,838 = 105,838/x
3. Step 3: Cross multiply
   49,031x = 105,838 × 105,838
4. Step 4: Simplify right side
   49,031x = 11,201,682,244
5. Step 5: Solve for x
   x = 11,201,682,244/49,031
6. Step 6: Final answer
   x = 228,461.22