Finding the Third Proportional to 49,896 and 107,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,896 : 107,704.50 = 107,704.50 : x
2. Step 2: Convert to fraction form
   49,896/107,704.50 = 107,704.50/x
3. Step 3: Cross multiply
   49,896x = 107,704.50 × 107,704.50
4. Step 4: Simplify right side
   49,896x = 11,600,259,320.25
5. Step 5: Solve for x
   x = 11,600,259,320.25/49,896
6. Step 6: Final answer
   x = 232,488.76