Finding the Third Proportional to 49,653.75 and 113,442.38

Step by Step Solution

1. Step 1: Write the proportion equation
   49,653.75 : 113,442.38 = 113,442.38 : x
2. Step 2: Convert to fraction form
   49,653.75/113,442.38 = 113,442.38/x
3. Step 3: Cross multiply
   49,653.75x = 113,442.38 × 113,442.38
4. Step 4: Simplify right side
   49,653.75x = 12,869,172,445.64
5. Step 5: Solve for x
   x = 12,869,172,445.64/49,653.75
6. Step 6: Final answer
   x = 259,178.26