Finding the Third Proportional to 49,959 and 107,003

Step by Step Solution

1. Step 1: Write the proportion equation
   49,959 : 107,003 = 107,003 : x
2. Step 2: Convert to fraction form
   49,959/107,003 = 107,003/x
3. Step 3: Cross multiply
   49,959x = 107,003 × 107,003
4. Step 4: Simplify right side
   49,959x = 11,449,642,009
5. Step 5: Solve for x
   x = 11,449,642,009/49,959
6. Step 6: Final answer
   x = 229,180.77