Finding the Third Proportional to 49,254 and 107,256

Step by Step Solution

1. Step 1: Write the proportion equation
   49,254 : 107,256 = 107,256 : x
2. Step 2: Convert to fraction form
   49,254/107,256 = 107,256/x
3. Step 3: Cross multiply
   49,254x = 107,256 × 107,256
4. Step 4: Simplify right side
   49,254x = 11,503,849,536
5. Step 5: Solve for x
   x = 11,503,849,536/49,254
6. Step 6: Final answer
   x = 233,561.73