Finding the Third Proportional to 49,922 and 108,140

Step by Step Solution

1. Step 1: Write the proportion equation
   49,922 : 108,140 = 108,140 : x
2. Step 2: Convert to fraction form
   49,922/108,140 = 108,140/x
3. Step 3: Cross multiply
   49,922x = 108,140 × 108,140
4. Step 4: Simplify right side
   49,922x = 11,694,259,600
5. Step 5: Solve for x
   x = 11,694,259,600/49,922
6. Step 6: Final answer
   x = 234,250.62