Finding the Third Proportional to 49,182.19 and 113,536.69

Step by Step Solution

1. Step 1: Write the proportion equation
   49,182.19 : 113,536.69 = 113,536.69 : x
2. Step 2: Convert to fraction form
   49,182.19/113,536.69 = 113,536.69/x
3. Step 3: Cross multiply
   49,182.19x = 113,536.69 × 113,536.69
4. Step 4: Simplify right side
   49,182.19x = 12,890,579,408.47
5. Step 5: Solve for x
   x = 12,890,579,408.47/49,182.19
6. Step 6: Final answer
   x = 262,098.54