Finding the Third Proportional to 49,820 and 107,036

Step by Step Solution

1. Step 1: Write the proportion equation
   49,820 : 107,036 = 107,036 : x
2. Step 2: Convert to fraction form
   49,820/107,036 = 107,036/x
3. Step 3: Cross multiply
   49,820x = 107,036 × 107,036
4. Step 4: Simplify right side
   49,820x = 11,456,705,296
5. Step 5: Solve for x
   x = 11,456,705,296/49,820
6. Step 6: Final answer
   x = 229,961.97