Finding the Third Proportional to 49,822 and 105,584

Step by Step Solution

1. Step 1: Write the proportion equation
   49,822 : 105,584 = 105,584 : x
2. Step 2: Convert to fraction form
   49,822/105,584 = 105,584/x
3. Step 3: Cross multiply
   49,822x = 105,584 × 105,584
4. Step 4: Simplify right side
   49,822x = 11,147,981,056
5. Step 5: Solve for x
   x = 11,147,981,056/49,822
6. Step 6: Final answer
   x = 223,756.19