Finding the Third Proportional to 49,262 and 105,526

Step by Step Solution

1. Step 1: Write the proportion equation
   49,262 : 105,526 = 105,526 : x
2. Step 2: Convert to fraction form
   49,262/105,526 = 105,526/x
3. Step 3: Cross multiply
   49,262x = 105,526 × 105,526
4. Step 4: Simplify right side
   49,262x = 11,135,736,676
5. Step 5: Solve for x
   x = 11,135,736,676/49,262
6. Step 6: Final answer
   x = 226,051.25