Finding the Third Proportional to 49,830 and 116,439

Step by Step Solution

1. Step 1: Write the proportion equation
   49,830 : 116,439 = 116,439 : x
2. Step 2: Convert to fraction form
   49,830/116,439 = 116,439/x
3. Step 3: Cross multiply
   49,830x = 116,439 × 116,439
4. Step 4: Simplify right side
   49,830x = 13,558,040,721
5. Step 5: Solve for x
   x = 13,558,040,721/49,830
6. Step 6: Final answer
   x = 272,085.91