Finding the Third Proportional to 49,788 and 107,499.38

Step by Step Solution

1. Step 1: Write the proportion equation
   49,788 : 107,499.38 = 107,499.38 : x
2. Step 2: Convert to fraction form
   49,788/107,499.38 = 107,499.38/x
3. Step 3: Cross multiply
   49,788x = 107,499.38 × 107,499.38
4. Step 4: Simplify right side
   49,788x = 11,556,115,625.39
5. Step 5: Solve for x
   x = 11,556,115,625.39/49,788
6. Step 6: Final answer
   x = 232,106.44