Finding the Third Proportional to 49,429.50 and 116,633.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,429.50 : 116,633.25 = 116,633.25 : x
2. Step 2: Convert to fraction form
   49,429.50/116,633.25 = 116,633.25/x
3. Step 3: Cross multiply
   49,429.50x = 116,633.25 × 116,633.25
4. Step 4: Simplify right side
   49,429.50x = 13,603,315,005.56
5. Step 5: Solve for x
   x = 13,603,315,005.56/49,429.50
6. Step 6: Final answer
   x = 275,206.41