Finding the Third Proportional to 58,462 and 126,760

Step by Step Solution

1. Step 1: Write the proportion equation
   58,462 : 126,760 = 126,760 : x
2. Step 2: Convert to fraction form
   58,462/126,760 = 126,760/x
3. Step 3: Cross multiply
   58,462x = 126,760 × 126,760
4. Step 4: Simplify right side
   58,462x = 16,068,097,600
5. Step 5: Solve for x
   x = 16,068,097,600/58,462
6. Step 6: Final answer
   x = 274,846.87