Finding the Third Proportional to 49,390 and 116,519

Step by Step Solution

1. Step 1: Write the proportion equation
   49,390 : 116,519 = 116,519 : x
2. Step 2: Convert to fraction form
   49,390/116,519 = 116,519/x
3. Step 3: Cross multiply
   49,390x = 116,519 × 116,519
4. Step 4: Simplify right side
   49,390x = 13,576,677,361
5. Step 5: Solve for x
   x = 13,576,677,361/49,390
6. Step 6: Final answer
   x = 274,887.17