Finding the Third Proportional to 49,071 and 105,913

Step by Step Solution

1. Step 1: Write the proportion equation
   49,071 : 105,913 = 105,913 : x
2. Step 2: Convert to fraction form
   49,071/105,913 = 105,913/x
3. Step 3: Cross multiply
   49,071x = 105,913 × 105,913
4. Step 4: Simplify right side
   49,071x = 11,217,563,569
5. Step 5: Solve for x
   x = 11,217,563,569/49,071
6. Step 6: Final answer
   x = 228,598.63