Finding the Third Proportional to 49,965 and 107,238

Step by Step Solution

1. Step 1: Write the proportion equation
   49,965 : 107,238 = 107,238 : x
2. Step 2: Convert to fraction form
   49,965/107,238 = 107,238/x
3. Step 3: Cross multiply
   49,965x = 107,238 × 107,238
4. Step 4: Simplify right side
   49,965x = 11,499,988,644
5. Step 5: Solve for x
   x = 11,499,988,644/49,965
6. Step 6: Final answer
   x = 230,160.89