Finding the Third Proportional to 49,134 and 115,499

Step by Step Solution

1. Step 1: Write the proportion equation
   49,134 : 115,499 = 115,499 : x
2. Step 2: Convert to fraction form
   49,134/115,499 = 115,499/x
3. Step 3: Cross multiply
   49,134x = 115,499 × 115,499
4. Step 4: Simplify right side
   49,134x = 13,340,019,001
5. Step 5: Solve for x
   x = 13,340,019,001/49,134
6. Step 6: Final answer
   x = 271,502.81