Finding the Third Proportional to 49,799 and 107,150

Step by Step Solution

1. Step 1: Write the proportion equation
   49,799 : 107,150 = 107,150 : x
2. Step 2: Convert to fraction form
   49,799/107,150 = 107,150/x
3. Step 3: Cross multiply
   49,799x = 107,150 × 107,150
4. Step 4: Simplify right side
   49,799x = 11,481,122,500
5. Step 5: Solve for x
   x = 11,481,122,500/49,799
6. Step 6: Final answer
   x = 230,549.26