Finding the Third Proportional to 49,069 and 105,914

Step by Step Solution

1. Step 1: Write the proportion equation
   49,069 : 105,914 = 105,914 : x
2. Step 2: Convert to fraction form
   49,069/105,914 = 105,914/x
3. Step 3: Cross multiply
   49,069x = 105,914 × 105,914
4. Step 4: Simplify right side
   49,069x = 11,217,775,396
5. Step 5: Solve for x
   x = 11,217,775,396/49,069
6. Step 6: Final answer
   x = 228,612.27