Finding the Third Proportional to 49,469 and 116,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,469 : 116,658.50 = 116,658.50 : x
2. Step 2: Convert to fraction form
   49,469/116,658.50 = 116,658.50/x
3. Step 3: Cross multiply
   49,469x = 116,658.50 × 116,658.50
4. Step 4: Simplify right side
   49,469x = 13,609,205,622.25
5. Step 5: Solve for x
   x = 13,609,205,622.25/49,469
6. Step 6: Final answer
   x = 275,105.74